Question

Without solving, find the nature of the roots of the quadratic equations. x²+ x + 1 = 0​

Answer 1

✔ Explanation :-

✔ Given :-

• Quadratic equation, x² + x + 1 = 0

✔ To Find :-

• The nature of the roots.

✔ Solution :-

Given that, x² + x + 1 = 0 ,

On compare with ax² + bx + c = 0, we get:

➡ a = 1 , b = 1 , c = 1

Now,

Δ = b² - 4ac

➡ Δ = 1² - 4 × 1 × 1

➡ Δ = 1 - 4

➡ Δ = -3

.°. Δ < 0

Hence,

• The roots are not real and unequal.