mohamedbushra38
mohamedbushra38 mohamedbushra38
  • 12-04-2020
  • Mathematics
contestada

What are all the values that make x^2 + bx + 144 a perfect square?

Respuesta :

wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 12-04-2020

Answer:

b = ±24

Step-by-step explanation:

Normally to find the number we add to make it a perfect square

We take the coefficient of x

b

Divide by 2

b/2

Then square it

(b/2) ^2

In this case, we are adding 144

(b/2) ^2 = 144

Take the square root of each side

sqrt((b/2) ^2) = sqrt(144)

b/2 = ±12

Multiply each side by 2

b/2*2 =  ±12 *2

b = ±24

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