Roots Of Quadratic Equation Formula Math

When only one root exists both formulas will give the same answer.

Roots of quadratic equation formula math. Put in a b and c. To examine the roots of a quadratic equation let us consider the general form a quadratic equation. X 6 4 10. And we see them on this graph.

B b 2 4 a c. Sum of the roots 4 2 6. After pressing solve your resulting roots would be 2 and 3. When b 2 4 a c 0 there is one real root.

Solve an equation of the form a x 2 b x c 0 by using the quadratic formula. Ax2 bx c 0 here a b and c are real and rational numbers to know the nature of the roots of a quadratic equation we will be using the discriminant b2 4ac. If the discriminant is positive then. Calculator determines whether the discriminant b 2 4 a c is less than greater than or equal to 0.

However since this page focuses using our formulas let s use them to answer this equation. It is easy to see that the roots are exactly the x intercepts of the quadratic function that is the intersection between the graph of the quadratic function with the x axis. The results will appear in the boxes labeled root 1 and root 2. The formula is as follows for a quadratic function ax 2 bx c.

X 0 2 or 1. There are a few ways to approach this kind of problem you could create two binomials x 4 and x 2 and multiply them. X 6 16 10. This is known as the quadratic formula.

It is also recognised by other names. The calculator solution will show work using the quadratic formula to solve the entered equation for real and complex roots. X b b2 4ac 2a. X 6 36 20 10.

When b 2 4 a c 0 there are two real roots. X 0 2 or x 1. B sqrt b 2 4ac 2a and b sqrt b 2 4ac 2a this formulas give both roots. You can read abo.

Solution to problem 4. Write the quadratic equation given the following roots. The quadratic formula gives that the roots of this equation are 2 and 4 and both of these are real so the equation has two real roots. For any quadratic equation of the form math ax 2 bx c 0 math the value of math x math is given by math x dfrac b pm sqrt b 2 4ac 2a math.

Enter the values in the boxes below and click solve.