Question

Factorise: 6x²-5x-6 solve the sum

Answer 1

$\bf\blue{\underline{\boxed{Question}}}$

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$\small\tt{6x^{2} - 5x - 6\: =\: 0}$

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$\bf\blue{\underline{\boxed{Solution}}}$

$\:$

$\small\tt{6x^{2} - 5x - 6\: =\: 0}$

$\small\tt{6x^{2} - 9x + 4x - 6}$

$\small\tt{3x(2x-3) + 2(2x-3)}$

$\small\tt{(3x+2)\:(2x-3)}$

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$\small\tt\red{\underline{\boxed{3x\:+\:2\:=\:0\:\rightarrow\:{\frac{-2}{3}}}}}$

$\small\tt\red{\underline{\boxed{2x\:-\:3\:=\:0\:\rightarrow\:{\frac{3}{2}}}}}$

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$\bf\blue{\underline{\boxed{Thanks}}}$

Answer 2

Answer:

6x

2

−5x−6=0

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\bf\blue{\underline{\boxed{Solution}}}

Solution

\:

\small\tt{6x^{2} - 5x - 6\: =\: 0}6x

2

−5x−6=0

\small\tt{6x^{2} - 9x + 4x - 6}6x

2

−9x+4x−6

\small\tt{3x(2x-3) + 2(2x-3)}3x(2x−3)+2(2x−3)

\small\tt{(3x+2)\:(2x-3)}(3x+2)(2x−3)

\:

\small\tt\red{\underline{\boxed{3x\:+\:2\:=\:0\:\rightarrow\:{\frac{-2}{3}}}}}

3x+2=0→

3

−2

\small\tt\red{\underline{\boxed{2x\:-\:3\:=\:0\:\rightarrow\:{\frac{3}{2}}}}}

2x−3=0→

2

3

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