Answer:
n₁ = 8
n₂ = - 3
Step-by-step explanation:
√(7n + 25) - n = 1
√(7n + 25) = n + 1
[√(7n + 25)]² = (n + 1)²
7n + 25 = n² + 2n + 1
n² + 2n + 1 - 7n - 25 = 0
n² - 5n - 24 = 0
n² + 3n - 8n - 24 = 0
n(n + 3) - 8(n + 3) = 0
(n - 8)(n + 3) = 0
n - 8 = 0 => n₁ = 8
n + 3 = 0 => n₂ = - 3
Answer:
Step-by-step explanation:
"One number is eight less than a second number."
x = y-8
"Twice the first is 12 more than 4 times the second."
2x = 4y+12
substitution
2(y-8) = 4y + 12
2y - 16 = 4y + 12
2y = -28
y = -14
x = y-8 = -22
So we have f(x)= 3x+4 and h(x) is f(x)+1 so you would have (3x+4)+1 which is 3x+5 so h(x) is 3x+5
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Answer:
b. x² + 8x + 12 =
1. use the factoring X (see attachment)
2. 6 x 2 = 12; 6 + 2 = 12
3. (x + 6)(x + 2) = 0
4. x = -6, -2
c. x² + 13x + 12 =
1. 12 x 1 = 12; 12 + 1 = 13
2. (x + 12)(x + 1) = 0
3. x = -12, -1
c. x² + x - 12 =
1. 4 · (-3) = -12; 4 - 3 = 1
2. (x +4)(x - 3) = 0
3. x = -4, 3
f. x² + 15x + 36 =
1. 12 x 3 = 36; 12 + 3 = 15
2. (x + 12)(x + 3) = 0
3. x = -12, -3
hope this helps :)
