Question

what is the answer of 2x²+7x+6​

Answer 1

Step-by-step explanation:

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Answer 2

$\boxed{ \huge \underline \mathfrak \green{to \: find}}$

$\large{ \: \: \: \: \: \: \: \: \: \: the \: value \: of \: x}$

$\boxed{\textbf {\huge \underline{\purple{solution}}}}$

${\rm{x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}}}$

$as \: we \: know$

${ax}^{2} + bx + c = 0$

$so \: a = 2 , \: b = 7 , \: c = 6$

$\therefore \: \: {\rm{x=\dfrac{-7 \pm \sqrt{7^2-4 \times 2 \times 6}}{2 \times 2}}}$

${\rm{x=\dfrac{-7 \pm \sqrt{49-48}}{4}}}$

${\rm{x=\dfrac{-7 \pm 1}{4}}}$

$when, \: \: {\rm{x=\dfrac{-7 + 1}{4}}}{\rm{=\dfrac{-6}{4}}}$

${\rm{x=\dfrac{-3}{2}}}$

$when, \: \: {\rm{x=\dfrac{-7 - 1}{4}}}{\rm{=\dfrac{-8}{4}}}$

${\rm{x=\dfrac{-2}{1}}}$

${ \rm{so \: the \: value \: of \: x \: is = \frac{ - 3}{2} ,\frac{ - 2}{1}}}$