Answer :

**Given:** equation 8x^{2} + 2x – 3 = 0.

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

**Formula Used:**

If a quadratic equation

ax^{2} + bx + c = 0, a ≠ 0 has two equal roots, then its discriminant value will be equal to zero i.e.,

**D = b ^{2} - 4ac > 0**

**Explanation:**

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

D = b^{2} - 4ac

**⸫** D = 2^{2} - 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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