Question

Solve the given equation:-

2x^2 + 10x + 3
(except completing the square method )
please send me as fast as possible ​

Answer 1

$\huge {\red{\boxed{ \overline{ \underline{ \mid\mathfrak{An}{\mathrm{sw}{ \sf{er}} \colon\mid}}}}}}$

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➠ To Find :

We have to find the value of x

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➠ Solution :

We will do this question by using quadratic formula.

$\large{\star{\boxed{\sf{Discriminant \: Method = b^2 - 4ac}}}}$

↦ (10)² - 4(2)(3)

↦100 - 24

↦76

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Now,

$\Large{\star{\boxed{\sf{x = \frac{- b \pm \sqrt{b^2 - 4ac}}{2a}}}}}$

(Putting Values)

$\sf{⇝x = \frac{-10 \pm \sqrt{76}}{2(2)}} \\ \\ \sf{⇝x = \frac{-10 \pm 2\sqrt{19}}{4}} \\ \\ \sf{⇝x = \frac{\cancel</p><p>{2}(-5 \pm \sqrt{19})}{\cancel{4}}} \\ \\ \sf{⇝x = \frac{- 5 \pm \sqrt{19}}{2}}$

$\bf{So, \: x \: can \: be \: :} \\ \\ \sf{x = \frac{-5 - \sqrt{19}}{2}} \\ \\ \bf{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: Or} \\ \\ \sf{x = \frac{-5 + \sqrt{19}}{2}}$