How do you find the nature of the roots using the discriminant given $2 x^{2} - 7 x + 3 = 0$ $2x^2 - 7x + 3 = 0$ ?

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Answer 1 · 2018-04-16T01:19:43

$Both the roots are real.$ $color(green)"Both the roots are real."$

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$2 x^{2} - 7 x + 3 = 0$ $2x^2 - 7x + 3 = 0$

Let's find the result of $b^{2} - 4 a c$ $b^2 - 4ac$ to know the nature of the roots.

$b^{2} - 4 a c = 49 - 24 = 25, is positive$ $b^2 - 4ac = 49 - 24 = 25, " is positive"$

$Hence both the roots are real.$ $color(green)"Hence both the roots are real."$

How do you find the nature of the roots using the discriminant given 2x2−7x+3=0 2x^2 - 7x + 3 = 0?