Question

*In a quadratic equation ax²+ bx + c = 0 , if b²- 4ac > 0 then the roots of quadratic equations are ---------- .*

1️⃣ Real and equal
2️⃣ Real and unequal
3️⃣ Not real
4️⃣ Not real but eqaul​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

In a quadratic equation ax²+ bx + c = 0 , if b²- 4ac > 0 then the roots of quadratic equations are

1️⃣ Real and equal

2️⃣ Real and unequal

3️⃣ Not real

4️⃣ Not real but equal

EVALUATION

Here the given Quadratic equation is

ax² + bx + c = 0

We now apply Sridhar Acharya formula to find the roots

$\displaystyle \sf{ \implies x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a} }$

Now it is given that b²- 4ac > 0

So the roots are real and unequal

FINAL ANSWER

Hence the correct option is

2️⃣ Real and unequal

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