Find the value of m which the equation x^2+ (m – 3)x + 4 = 0 has two real roots.
1. Find the value of m which the equation x^2+ (m – 3)x + 4 = 0 has two real roots.
• Persamaan Kuadrat
-
Nilai m agar x² + (m - 3)x + 4 = 0 memiliki 2 akar - akar real adalah m ≤ -1 atau m ≥ 7
• Pembahasan •
D ≥ 0 → Memiliki dua akar - akar reaL
x² + (m - 3)x + 4 = 0
a = 1
b = m - 3
c = 4
0 ≤ b² - 4ac
0 ≤ (m - 3)² - 4(1)(4)
0 ≤ m² - 6m + 9 - 16
0 ≤ m² - 6m - 7
0 ≤ (m + 1)(m - 7)
HP = { m ≤ -1 atau m ≥ 7 }
•••
-AL
Jawab:
m ≥ 7 atau m ≤ - 1
Penjelasan dengan langkah-langkah:
akan memiliki akar akar bilangan real jika D ≥ 0
bentuk umum persamaan kuadrat adalah ax² + bx + c = 0, maka dari soal diperoleh
a = 1
b = m - 3
c = 4
karena D ≥ 0, maka
D ≥ 0
b² - 4ac ≥ 0
(m-3)² - 4.1.4 ≥ 0
m² - 6m + 9 - 16 ≥ 0
m² - 6m - 7 ≥ 0
(m - 7)(m + 1) ≥ 0
maka didapat m ≥ 7 atau m ≤ -1
jadi, HP = {m | m ≥ 7 atau m ≤ - 1}
2. Find the value of x of absolute value in the following equation: | 4 - 3x | = | -4 |
|4 - 3x| = |-4| |4 - 3x| = 4 , , 4 - 3x = 4 -3x = 4 - 4 -3x = 0 x = 0 . . 4 - 3x = -4 -3x = - 4 - 4 -3x = -8 x = 8/3
3. Find the value of x of the following equation. x2+(x+2)2
Jawab:
(x + 2)² = (x + 2) (x + 2)
=x.x + x.2 + x.2 + 2.2
=x² + 2x + 2x + 4
=x² + 4x + 4
x² + x² + 4x + 4=2x² + 4x + 4
Penjelasan dengan langkah-langkah:
cari nlai x sendiri ya will aku juga bingung
4. The value of b of the equation 4b+11=9 is ....
Jawaban:
4b+11=9
4b= 9-11
4b= -2
b= -2/4
b= -1/2 atau -0,5
so, 4b + 11 = 9
4(-1/2) + 11 = 9
-2 + 11 = 9
Jawaban:
b = - 1/2
Penjelasan dengan langkah-langkah:
4b + 11 = 9
4b = 9 - 11
4b = - 2
b = - 2/4
b = - 1/2
Maaf kalo salah
5. What is the value of x in the equation log5x + log5(x - 4) = log512?
5×∆×π¶×¶5626=111111112222222233333333
6. Given the equation linear two variable x = 7y x – y = 36 The value of 3x - 4y is . . . .
102 menggunakan eliminasi dan subtitusi
Jawab:
102
Penjelasan dengan langkah-langkah:
Pertama, cari nilai dari y dengan cara mengeliminasi x:
[tex]x = 7y\\x - y = 36\\\\x - 7y = 0\\x - y = 36\\============-\\-6y = -36\\y = 6[/tex]
Kedua, cari nilai dari x setelah mendapatkan nilai dari y dengan cara substitusi nilai dari y ke salah satu persamaan:
[tex]x = 7y\\x = 7 \times 6\\x = 42[/tex]
Ketiga, substitusikan nilai dari x dan y pada 3x - 4y:
[tex]3x - 4y\\\\= 3 \times 42 - 4 \times6\\\\= 126 - 24\\\\= 102[/tex]
7. the value of x and y from the equation of x + 2y – 3 = 0 and 4x + 3y - 2 = 0 are ...
Jawab:
Penjelasan dengan langkah-langkah:
x + 2y - 3 = 0
x = -2y + 3
4x + 3y - 2 = 0
4 . (-2y + 3) + 3y = 2
-8y + 12 + 3y = 2
-5y = 2 - 12
y = -10/(-5)
y = 2
x = -2y + 3
x = -2 . 2 + 3
x = -4 + 3
x = -1
x = -1
y = 2
Detail Jawaban
Kelas 8
Mapel 2 - Matematika
Bab 3 - Sistem Persamaan
Kode Kategorisasi : 8.2.3
8. the value of x equation system y= x^2 - x - 6 and y = 2x -2 is
You can look at the pictureSystem of Linear and Quadratic Equation.
x² - x - 6 = 2x - 2
x² - x - 6 - 2x + 2 = 0
x² - 3x - 4 = 0
(x - 4)(x + 1 = 0
x = 4 ∨ x = -1
9. the value of x for equation 35x=5 is?
Penjelasan dengan langkah-langkah:
The value of x for equation :
35x = 5
x = 5/35
x = 1/7
so, the value of x is 1/7
10. |3x + 5) = 8. Find all values of x which make this equation true.
Jawaban:
1, -13/3
Penjelasan dengan langkah-langkah:
|3x + 5| = 8
if 3x + 5 positive:
3x + 5 = 8
3x = 8 - 5 = 3
Hence x = 1
if 3x + 5 negative:
-3x - 5 = 8
-3x = 8 + 5 = 13
Hence x = -13/3
11. Given one of the roots of the quadratic equation x 2 + kx – 3 = 0 is 3. Find the value of k.
Jawaban:
x²+kx-3=0
3²+3k-3=0
9+3k-3=0
3k+6=0
3k=-6
k=-2
barangkali ada yg ditanyalan dm dan follow ig @alwi_dj
12. (i) If x = 5 is a solution of the equation x^2 - qx + 10 = 0, find the value of q.(ii )Hense, find the other solutions of the equation.(i) q =(ii) x =
Penjelasan dengan langkah-langkah:
x²-qx+10=0
5²-5q+10=0
25+10=5q
35 = 5q
q = 7
x²-7x+10 = (x-5)(x-2)
x=5 atau x=2
13. the value of x equation system y= x^2 - x - 6 and y = 2x -2 IS?
y = x² - x - 6
y = 2x - 2
2x - 2 = x² - x - 6
0 = x² - 3x - 4
0 = (x - 4)(x + 1)
x - 4 = 0
x = 4
or
x + 1 = 0
x = -1
Hp = {-1, 4}System of Linear and Quadratic Equation.
x² - x - 6 = 2x - 2
x² - x - 6 - 2x + 2 = 0
x² - 3x - 4 = 0
(x - 4)(x + 1 = 0
x = 4 ∨ x = -1
The solution set is {(4, -1)}
14. If the positive value of n which satisfies the equation 1/12 + 2/12 + 3/12 + ... + n/12 = 12n is substituted back into the equation, the value of 12n is... . (A) 143 (D) 1716 (B) 287 (E) 3444 (C) 430
Jawaban==>(E)
https://id-static.z-dn.net/files/dc9/cf8c9959791a096849e78d6c5bfda585.jpg
15. The equation 2y + 2x = 0, if the value of x is 3 so the value of y is…
Hopefully help you.
The answer is y = -3.
16. What is the value of x from the equation -8x=-56
Penjelasan dengan langkah-langkah:
[tex] - 8x = - 56[/tex]
[tex]8x = 56[/tex]
[tex]x = \frac{56}{8} [/tex]
[tex]x = 7[/tex]
17. the equation of a function is y=3x-5. find the value of x when y=10
Jawaban:
y=10
x=?
y=3x-5
10=3x-5
10+5=3x
15=3x
15:3=x
5=x
x=5
don't forget make me a very good answer
The value of x when y = 10 is 5
Pembahasan:y = 3x - 5
Find the value of x when y = 10
Answer:
Change y with 10.
10 = 3x - 5
3x = 10 + 5
3x = 15
x = 15/3
x = 5
Kesimpulan:So, The value of x when y = 10 is 5
18. Find the x value of the equation 2(3x+4) = 10x
Jawab:
2(3x+4) = 10x
6x + 8 = 10x
6x - 10x = -8
-4x = -8
x = 2
Penjelasan dengan langkah-langkah:
Semoga menjawab like ny tolong
19. The value of 2/7 x 8 is 121 * TrueFalse
the answer,false.cause it supposed to be 16/7
hope my answer could help you, and CMIIW :)
semoga membantu ,dan maaf kalo salah :)
20. What is the angle of depression which the direction of sight to the visible horizon makes with the plane of the true horizon called?
Jawaban:
apa sudut depresi yang arah penglihatan ke cakrawala terlihat membuat dengan bidang cakrawala yang sebenarnya disenut?
maaf saya cuma bisa mengartikanya saja
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