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# If the Equation Ax2 + 2x + a = 0 Has Two Distinct Roots, If - CBSE Class 10 - Mathematics

ConceptSolutions of Quadratic Equations by Factorization

#### Question

If the equation ax2 + 2x + a = 0 has two distinct roots, if

• a = ±1

• a = 0

• a = 0, 1

• a = −1, 0

#### Solution

The given quadric equation is ax2 + 2x + a = 0 , and roots are distinct.

Then find the value of a.

Here, a = a,b = 2 and, c = a

As we know that D = b^2 - 4ac

Putting the value of a = a,b = 2 and, c = a

= (2)^2 - 4 xx a xx a

= 4 - 4a^2

The given equation will have real and distinct roots, if D > 0

4 -4a^2 = 0

4a^2 = 4

 a^2 = 4/4

a = sqrt1

= ± 1

Therefore, the value of  a = ± 1.

Is there an error in this question or solution?

#### APPEARS IN

Solution If the Equation Ax2 + 2x + a = 0 Has Two Distinct Roots, If Concept: Solutions of Quadratic Equations by Factorization.
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