Q. 44.0( 18 Votes )

Find whethe

Answer :

Given: equation 8x2 + 2x – 3 = 0.

To find: The roots if the equation has real roots.


Formula Used:


If a quadratic equation


ax2 + bx + c = 0, a ≠ 0 has two equal roots, then its discriminant value will be equal to zero i.e.,


D = b2 - 4ac > 0


Explanation:


To check whether the quadratic equation has real roots or not, we need to check the discriminant value i.e.,


D = b2 - 4ac


For 8x2 + 2x – 3 = 0


D = 22 - 4(8) (-3)


D = 4 + 96 > 0


Hence, the roots are real and distinct.


To find the roots, use the formula,






Hence the roots are .


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