The factorisation method of the quadratic equations , how i solve this question please help me sir for solving this question Find the roots of the following quadratic equations by factorisation:(ii) 2×2 + x – 6 = 0
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Find the roots of the following quadratic equations by factorisation:(ii) 2×2 + x – 6 = 0 Q.1(2)
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Given, 2x2 + x – 6 = 0
Taking LHS,
=> 2x2 + 4x – 3x – 6
=> 2x(x + 2) – 3(x + 2)
=> (x + 2)(2x – 3)
The roots of this equation, 2x2 + x – 6=0 are the values of x for which (x – 5)(x + 2) = 0
Therefore, x + 2 = 0 or 2x – 3 = 0
=> x = -2 or x = 3/2