Question

x²–12=0,Solve the given quadratic equation using factorization.

Answer 1

${x}^{2} = 12 \\ x = \sqrt{12} \\ x = \sqrt{4 \times 3} \\ x = 2 \sqrt{$

Answer 2

Solution :

Given quadratic equation x² - 12 = 0

=> x² - ( 2√3 )² = 0
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We know the algebraic identity :

a² - b² = ( a + b )( a - b )
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=> ( x + 2√3 )( x - 2√3 ) = 0

x + 2√3 = 0 or x - 2√3 = 0

x = -2√3 or x = 2√3

Therefore ,

-2√3 , 2√3 are two roots of

given quadratic equation.

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