What is the discriminate of a quadratic equation?

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1, Problem 18RCC
To determine

What is the discriminate of a quadratic equation?

Expert Solution

D=b24ac

Explanation of Solution

Given information:

What is the discriminate of a quadratic equation?

Calculation:

Quadratic equation are polynomials of degree 2 they can have maximum two solutions.

The discriminate is the value which shows how many real roots a quadratic equation have.

The general formula for quadratic equation is.

ax2+bx+c=0

Where, a,b,c are constant.

So that discriminate is,

D=b24ac

Discriminate value shows that how many solutions the equation has.

If discriminate is positive the equation has two real solutions.

If discriminate is negative the equation has no real solutions.

If discriminate is equal to zero the equation has one real solution.

Hence D=b24ac

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