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If {vmatrix} x & 2 18 & x {vmatrix}={vmatrix} 6 & 2 3x & 6 {

Question

If $∣ ∣ x 18 2 x ∣ ∣ = ∣ ∣ 6 3 x 26 ∣ ∣$ , then $x$ is equal to

6

\pm 6

- 6

0

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Camila Discussed

∣ ∣ x 18 2 x ∣ ∣ = ∣ ∣ 6 3 x 26 ∣ ∣

, then

x

is equal to

11 mins ago

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11 mins ago

Text solutionVerified

∣ ∣ x 18 2 x ∣ ∣ = ∣ ∣ 6 3 x 26 ∣ ∣

\Rightarrow x^{2} - 36 = 36 - 6 x

\Rightarrow x^{2} + 6 x - 72 = 0

\Rightarrow x = \frac{- 6 \pm 6 ^{2} + 4 \times 72}{2}

= \frac{- 6 \pm 36 ( 1 + 8 )}{2}

= - 3 \pm 9 = 6 or - 12

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