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

What are the values that make x^2 + bx + 64 a perfect square?

Respuesta :

wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 12-04-2020

Answer:

b = ±16

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 64

(b/2) ^2 = 64

Take the square root of each side

sqrt((b/2) ^2) = sqrt(64)

b/2 = ±8

Multiply each side by 2

b/2*2 =  ±8 *2

b = ±16

Answer Link
amna04352
amna04352 amna04352
  • 12-04-2020

Answer:

16, -16

Step-by-step explanation:

For a perfect square,

B² - 4AC = 0

b² - 4(1)(64) = 0

b² = 256

b = +/- 16

Answer Link

Otras preguntas

Based on these results, express the probability that the next spin will land on purple as a percent to the nearest whole number
Write in the form (x+p)^2+q x^2−10x
Help me with this question
Hello, I need answers to all odd numbered questions thank you very much
I just want to know if I’m doing this right
3 (3b + 4) - 6 ( )+ ( )-6 - 6 + 1 1 - +
You decide to clean the bathroom. You notice that the shower is covered in a strange green slime. You try You spray half of the shower with lemon juice and spra
How many significant figures are in the following number? 3600 a 1 b 2 c 3 d 4
According to Freud, mental illnesses arise when
Use a single digit times a power of 10 to estimate the number 0.00002468. Rounded to the nearest hundred thousandth, the number is about Written as a single dig