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Test, whether the following equation is quadratic equation. x(

Question

Test, whether the following equation is quadratic equation.
$x (x + 1) + 8 = (x + 2) (x - 2)$

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Test, whether the following equation is quadratic equation.

x (x + 1) + 8 = (x + 2) (x - 2)

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Text solutionVerified

Given equation

x (x + 1) + 8 = (x + 2) (x - 2)

L.H.S.

x (x + 1) + 8 = x^{2} + x + 8

R.H.S

(x + 2) (x - 2) = x^{2} - 4

[ formula

(a + b) (a - b) = a^{2} b^{2}

]
L.H.S.=R.H.S

x^{2} + x + 8 = x^{2} - 4

By alternation,

\Rightarrow x^{2} + x + 8 - x^{2} + 4 = 0

\Rightarrow x + 12 = 0

Thus, this is not a equation of power

2

∴

Given equation is not a quadratic equation

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Question Text	Test, whether the following equation is quadratic equation. $x (x + 1) + 8 = (x + 2) (x - 2)$
Answer Type	Text solution:1
Upvotes	150