Quadratic Equation B2 4ac Complete Guide

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quadratic equation b2 4ac. The nature of the roots depends on the value of b 2 4ac. The mathematical proof will now be briefly summarized.

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2ax -b D. When a b and c are real numbers a 0 and the discriminant is positive then the roots a and v of the quadratic equation ax 2 bx c 0 are real and unequal. Take the square root of each sidex b2a2 b2 - 4ac4a2x b2a b2 - 4ac2a Subtract b2a from both sides and you will at last have the quadratic formulax -b.

The discriminant shows the nature of roots that an equation has.

For a quadratic equation ax2bxc 0 where a b and c are coefficients its roots is given by following the formula. X2-10x 475 Explain each step. How did you find the a b and c. The discriminant tells the nature of the roots.