Question

Solve for x in the equation x squared 20 x 100 = 36. x = –16 or x = –4 x = –10 x = –8 x = 4 or x = 16

Answer 1

Possible values of x is -4 or -16

How to solve?

${x}^2$ + 20x +100 = 36

$\\{x}^2$ + 20x + 100-36 = 0

$\\{x}^2$ + 20x + 64 = 0

Using middle term split

In this method splitting of middle term in to two factors, In Quadratic Factorization using Splitting of Middle Term which is x term is the sum of two factors and product equal to last term.

${x}^2$ + 4x + 16x + 64 = 0

x(x+4) + 16(x+4) = 0

taking common (x+4)

(x+4)(x+16) = 0

Either

x+4 = 0

⇒ x = -4

or (x+16) = 0

⇒ x = -16

Thus possible values of x is -4 or -16

To learn more about solving Quadratic Equations visit:

brainly.com/question/1279217

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