Maths help pleaseeeee?

Question

2x^2=32
Find x


And factorise
-x^2+x-12

Plz include explanations!
Thanks a million x x x

 

Answer 1

• The equation 2x ² = 32

Divide each side by 2.

(2x ² )/2 = 32/2

(2x ² )/2 = (16 * 2)/2

Cancel the common terms.

x ²  = 16

Apply squre root on each side.

√(x )²  = √16

x = ± 4

Solutions x = 4 , - 4.

• The trinomial - x ²  + x - 12

It's related quadratic equation is

Using the quadratic formula to find the roots.

 

Multiply each side by negative one.

Compare it to quadratic form

a = 1, b = - 1 , c = 12

b² - 4ac  = (-1)² - 4(1)(12) = 1 - 48 = - 47

b² - 4ac < 0

The discriminant is negitive ,The polynomial has two complex roots.

Roots are

Roots are

Factoring of - x ²  + x - 12 is .