Question

If the quadratic formula is used to find

Answer 1

The two roots obtained for the quadratic equation by quadratic formula are 1.5 and 4.

What is defined as the quadratic formula?

• A quadratic equation is just a polynomial with a second degree first term.
• There are several methods for determining the roots, or solutions, of such a quadratic equation.
• Every quadratic equation has two solutions, that might or might not be real numbers.
• The quadratic formula is a simple method for resolving a quadratic equation. whether the answer is a whole number, an irrational number, or perhaps an imaginary number

If the quadratic equation is ax² + bx + c = 0.

Then, the roots are given by x = [-b ± √(b² - 4ac)]/2a.

The quadratic equation is given as; 2x² - 5x - 12 = 0.

On comparing with the standard form;

• a = 2
• b = -5
• c = -12

Put the values in the formula,

x = [-b ± √(b² - 4ac)]/2a.

x = [-(-5) ± √((-5)² - 4×2×(-12))] / 2×2

On simplification,

x = [5 ± 11]/4

There will be two roots of equation,

a; x =  [5 + 11]/4

x = 16/4 = 4

b ; x = [5 - 11]/4

x = 6/4 = 1.5

Thus, the two roots obtained for the quadratic equation by quadratic formula are 1.5 and 4.

To know more about the quadratic formula, here

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