Question

x² – 3x - 648 = 0 complete by squaring ​

Answer 1

Answer:

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Step-by-step explanation:

Simplifying

x2 + -3x + -648 = 0

Reorder the terms:

-648 + -3x + x2 = 0

Solving

-648 + -3x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.

(-24 + -1x)(27 + -1x) = 0

Subproblem 1

Set the factor '(-24 + -1x)' equal to zero and attempt to solve:

Simplifying

-24 + -1x = 0

Solving

-24 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '24' to each side of the equation.

-24 + 24 + -1x = 0 + 24

Combine like terms: -24 + 24 = 0

0 + -1x = 0 + 24

-1x = 0 + 24

Combine like terms: 0 + 24 = 24

-1x = 24

Divide each side by '-1'.

x = -24

Simplifying

x = -24

Subproblem 2

Set the factor '(27 + -1x)' equal to zero and attempt to solve:

Simplifying

27 + -1x = 0

Solving

27 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-27' to each side of the equation.

27 + -27 + -1x = 0 + -27

Combine like terms: 27 + -27 = 0

0 + -1x = 0 + -27

-1x = 0 + -27

Combine like terms: 0 + -27 = -27

-1x = -27

Divide each side by '-1'.

x = 27

Simplifying

x = 27

Solution

x = {-24, 27}