How To Know If A Quadratic Equation Has No Solution Complete Guide

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how to know if a quadratic equation has no solution. Our solutions are going to be non-real involving that i value and the square root of negative 1. When the discriminant is negativex b 2a x b 2 a the quadratic equation has no real solutions.

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In the linear equation given below say whether the equation has exactly one solution or infinitely many solution or no solution. This article will use three examples to show that assumption is incorrect. However if the discriminant is less than zero or negative the solution to x becomes non-real.

We find the same coefficient for x on both sides.

One of the many ways you can solve a quadratic equation is by graphing it and seeing where it crosses the x-axis. However if the discriminant is less than zero or negative the solution to x becomes non-real. Use the discriminant b2 4ac b 2 4 a c to determine the number of solutions of a Quadratic Equation. If the expression under the square root is negative then the quadratic equation will have zero real solutions.