Q. 44.0( 18 Votes )
Given: equation 8x2 + 2x – 3 = 0.
To find: The roots if the equation has real roots.
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
To check whether the quadratic equation has real roots or not, we need to check the discriminant value i.e.,
D = b2 - 4ac
⸫ 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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