Explanation

Plug x = -5 into f(x) = |x² - 50|:

f(-5) = |(-5)² - 50|  

= |25 - 50|  

= |-25|  

= 25

Last verified on 26-05-2026

Explanation

3(2x - 5) = 4(x + 3)  

6x - 15 = 4x + 12  

6x - 4x = 12 + 15  

2x = 27

Last verified on 26-05-2026

Explanation

Multiply it out:

(x - 3)(x + 7) = x(x + 7) - 3(x + 7)  

= x² + 7x - 3x - 21  

= x² + 4x - 21

Compare with ax² + bx + c:

a = 1

b = 4

c = -21

Last verified on 26-05-2026

Explanation

Put a = 1 into a² + b² = 170.

1² + b² = 170  

1 + b² = 170  

b² = 170 - 1  

b² = 169  

b = 13 or b = -13

So b equals 13 or -13.

Last verified on 25-05-2026

Explanation

Write (14x + 10)/(x(x + 5)) = A/x + B/(x + 5)

Multiply both sides by x(x + 5):

14x + 10 = A(x + 5) + Bx

Now find A and B by plugging in values for x:

Put x = 0:

14_0 + 10 = A(0 + 5) + B_0

10 = 5A

A = 2

Put x = -5:

14_(-5) + 10 = A(0) + B_(-5)

-70 + 10 = -5B

-60 = -5B

B = 12

So (14x + 10)/(x(x + 5)) = 2/x + 12/(x + 5)

Last verified on 25-05-2026