Calculate all the values of x such that <mo stretchy="false">( x + 18 3

othereyeshmt4l

othereyeshmt4l

Answered question

2022-05-18

Calculate all the values of x such that ( x + 18 3 ) 2 =.

Answer & Explanation

Kylan Simon

Kylan Simon

Beginner2022-05-19Added 17 answers

Divide 18 by 3.

(x+6)2=x

Move all terms containing x to the left side of the equation.

x2+11x+36=0

Use the quadratic formula to find the solutions.

-b±b2-4(ac)2a

Substitute the values a=1b=11, and c=36 into the quadratic formula and solve for x.

-11±112-4(136)21

Simplify.

x=-11±i232

The final answer is the combination of both solutions.

x=-11-i232,-11+i232

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