Find the roots of the quadratic equations given by applying the quadratic formula: 2x2 – 7x + 3 = 0

Asked by Pragya Singh | 1 year ago |  97

1 Answer

Solution :-

On comparing the given equation with ax2 + bx + c = 0, we get,

a = 2, b = -7 and c = 3

By using quadratic formula, we get,

\( x= \dfrac{-b±\sqrt{b^2-4ac}}{2a}\)

⇒ \( x= \dfrac{7±\sqrt{49-24}}{4}\)

⇒ \( x= \dfrac{7±\sqrt{25}}{4}\)

⇒ \( x= \dfrac{7±5}{4}\)

\( x= \dfrac{7+5}{4}\;or\; x= \dfrac{7-5}{4}\)

⇒ \( x= \dfrac{12}{4}\;or\; x= \dfrac{2}{4}\)

x = 3 or \( \dfrac{1}{2}\)

Answered by Abhisek | 1 year ago

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