Question

6a square+5a-6=0 solve this quadratic equation​

Answer 1

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6a² + 5a - 6 = 0

=> 6a² +9a - 4a - 6 = 0

=> 3a(2a + 3) - 2(2a + 3) = 0

=> (2a + 3) (3a - 2) = 0

so, factors of equations are (2a + 3) and (3a - 2)

=> 2a + 3 = 0

=> a = -3/2

and

=> 3a - 2 = 0

=> a = 2/3

so, values of a or roots of equation are -3/2 or 2/3

Answer 2

${\huge{\star{\underbrace{\tt{\red{Answer}}}}}}{\huge{\star}}$

$\Large{\blue{\tt{\underline{\underline{To \ find \ :-}}}}}$

${\sf{\bold{• \ Solve \ the \ equation \ ⟹ \ 6a²+5a-6 = 0}}}$

$\Large{\green{\tt{\underline{\underline{Solution \ :-}}}}}$

${\sf{↣ \ 6 {a}^{2} + 5b - 6 = 0}}$

${\sf{↣ \ 6 {a}^{2} + 9a - 4a - 6 = 0}}$

${\sf{↣ \ 3a(2a + 3) - 2(2a + 3) = 0}}$

${\sf{↣ \ (3a - 2)(2a + 3) = 0}}$

${\sf{↣ \ a = \frac{2}{3} \: or \: a = - \frac{ 3}{2}}}$

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