The two roots obtained for the quadratic equation by quadratic formula are 1.5 and 4.
<h3>What is defined as the quadratic formula?</h3>
- 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;
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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