Question

Factorise:〖2x〗^2-7x+6​

Answer 1

$\huge\tt{\bold{\underline{\underline{Question᎓}}}}$$\bold{Factorise:2 {x}^{2} - 7x + 6 = 0}$

$\huge\tt{\bold{\underline{\underline{Answer᎓}}}}$

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$2 {x}^{2} - 7x + 6 = 0$

It is in the form of a quadratic equation .e.g=>${ax}^{2} +bx+ c= 0$

so ,we factorise it to find roots:-

$= > 2 {x}^{2} - 4x - 3x + 6 = 0$

$= > 2x(x - 2) - 3(x - 2) = 0$

$= > (2x - 3)(x - 2) = 0$

$= > 2x - 3 = 0$

$\bold{\red{ = > x = \frac{3}{2} }}$

$= > x - 2 = 0$

$\bold{\red{= > x = 2}}$

Therefore,the roots of given equation is (3/2 &2)

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