Question

Find the discriminant of the quadratic equation x2 14x 8 = 0 and use it to determine the number and types of solutions. b2 − 4ac

Answer 1

The discriminant is 164 and there are two real solutions.

What is Quadratic equation?

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax^2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.

We can find the discriminant as shown below:

x^2+14x+8=0

a=1, b=14, c=8

Discriminant=b^2-4ac

=(14)^2-4*1*8

=196-32

=164>0

As the discriminant is positive and greater than zero. So, there are two real and distinct solution.

Hence, discriminant is 164 and two real solution.

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