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solving quadratic equation b2 4ac. The Quadratic Formula x bb24ac 2a x b b 2 4 a c 2 a is found by completing the square of the quadratic equation. Ax2 bx c 0 Multiply both sides by 4a 4ax2 4abx 4ac 0 Subtract 4ac from both sides 4ax2 4abx -4ac Add b2 to both sides 4a2x2 4abx b2 0 Since m n2 m2 2mn n2 Complete the square on the left slide 2ax b2 b2.
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To the absolute number multiplied by four times the coefficient of the square add the square of the coefficient of the middle term. X 02 or 1. Hide Comments Share Hide Toolbars.
This means that when the discriminant is positive the quadratic will have two solutions - one where you add the square root of the discriminant and one where you subtract it.
Ax 2 bx c 0. X 6 36 20 10. Is the part of the quadratic formula under the square root. On the other hand if you get negative values for a b or c it is best to continue solving for x until you find 2 real solutions or imaginary ones.
