Solve for x

X^2+6x+9=20

x=1.472 or x=-7.472

Step-by-step explanation:

Lets begin by rearranging the equation into the format ax²+bx+c=0

The equation will be:

x²+6x+9-20=0

x²+6x-11=0

We shall use the quadratic formula to solve the equation.

x=[-b±√ (b²-4ac) ]/2a

=[-6±√ (6²-4*1*-11) ]/2

=[-6±√80]/2

=[-6±8.944]2

x = Either (-6+8.944) / 2 or x = (-6-8.944) / 2

Solving for x in each case gives:

x=1.472 or x=-7.472

x = 1.47 or x = - 7.47

Step-by-step explanation:

x²+6x+9=20

This is a quadratic equation

x²+6x+9-20=0

x²+6x-11=0

Step 1 : Write the quadratic formula

x = - b±√b²-4 (a) (c)

2a

Step 2 : Substitute values in the formula

a = 1

b = 6

c = - 11

x = - 6±√6²-4 (1) (-11)

2 (1)

x = - 6±√80

2

x = - 3 + 2√5 or x = - 3 - 2√5

x = 1.47 or x = - 7.47

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