Question

Divide the following algebraic expression-
18 x (4x - 56) + 9x(x - 14)​

Answer 1

Answer:

-4+√142 and -4-√142

Step-by-step explanation:

18(4x - 56) + 9x(x - 14)

Multiplying the given terms

72x - 1008 + 9x^2 - 126=0

9x^2 + 72x - 1008 - 126=0

9x^2 + 72x -1134=0

By formula method

Use the quadratic formula

= − ± ^2−4 / 2

Once in standard form, identify a, b and c from the original equation and plug them into the quadratic formula.

^2+8−126=0

x^{2}+8x-126=0

x^2+8x−126=0

=1, b=8, =−126

=−8 ± (8)^2−4(1) (−126) / 2x1

=−8±2√142 / 2

To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.

=−8+2√142 / 2

=−8−2√142 / 2

Rearrange and isolate the variable to find each solution

= −4+√142

= −4−√142

.•. -4+√142 and -4-√142 are the roots of the given equations

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