Quadratic equations
So this can be written as x = (-b ± √ D )/2a. The quadratic formula is x = (-b ± √ (b 2 - 4ac) )/2a. The discriminant of the quadratic equation ax 2 + bx + c = 0 is D = b 2 - 4ac. We can determine the nature of the roots by using the discriminant. But for finding the nature of the roots, we don't actually need to solve the equation. and so we can say that the equation has two real and different roots.
QUADRATIC EQUATIONS HOW TO
How to Find the Roots of Quadratic Equation? This is known as the quadratic formula and it can be used to find any type of roots of a quadratic equation. when x = 5, 5 2 - 7(5) + 10 = 25 - 35 + 10 = 0.īut how to find the roots of a general quadratic equation ax 2 + bx + c = 0? Let us try to solve it for x by completing the square.i.e., when each of them is substituted in the given equation we get 0. For example, the roots of the quadratic equation x 2 - 7x + 10 = 0 are x = 2 and x = 5 because they satisfy the equation.
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They are also known as the "solutions" or "zeros" of the quadratic equation. The roots of a quadratic equation are the values of the variable that satisfy the equation.