Question

Solve using the quadratic formula: 2x2-9x+12=0

-3,7

2,9

-9,12

3,7

no soultion

-2,9

Answer 1

no solution

Explanation:

For getting the nature of solution of the quadratic equation of the form:

ax² + bx + c = 0

We need to find Discriminant which is:

Discriminant (D) = b² - 4ac

• If D < 0, there is no solution of equation.
• If D = 0, there are two equal and real solution of equation
• If D < 0, there are two real and distinct solution of equation

Here we have equation is:

2x² - 9x + 12 = 0

∴ a=2, b = -9, c = 12

⇒ D = 81 - 4 × 2 × 12 = -16 < 0

Hence, there is no solution of given equation.