Question

Need help step by step. Thanks

Answer 1

Answer:

3: x=1

4: x=8 AND -4

Step-by-step explanation:

3: x^2+12x+36=49

Subtract 36 from both sides

X^2+12x=13

X has to equal 1, because:

1^2+12=13

13=13

4:

x^2-4x-32=0

Multiply -32 by x^2

      -32x^2

       -4x

What number times another number equals -32?

What number plus another number equals -4?

         -32x^2

-8x                     4x

        -4x

Complete the square

 -8       -8x                 -32

 x       x^2              4x

           x                 4  

(Factors are in bold)

then, x-8=0, x=8

AND

x+4=0

x=-4

Answer 2

Step-by-step explanation:

All of these are quadratic formula problems. Remember to properly use the quadratic formula, ax^2+bx+c=0.

For 3:

x^2+12x+36=49

x^2+12x-13=0

Using quadratic formula:

(-12+/-(12^2-4(1)(-13))^.5)÷2(1)

(-12+(196)^.5)/2=(-12+13)/2=1/2

=(-12-13)/2=-25/2