Use the discriminant to determine whether each quadratic equation has two unequa

Emeli Hagan

Emeli Hagan

Answered question

2021-09-28

Use the discriminant to determine whether each quadratic equation has two unequal real solutions, a repeated real solution (a double root), or no real solution, without solving the equation.
2x26x+7=0

Answer & Explanation

Khribechy

Khribechy

Skilled2021-09-29Added 100 answers

Step 1
Consider the given quadratic equation
2x26x+7=0
Step 2
Compare the given quadratic equation with the following quadratic equation
Ax2+Bx+C=0
Then,
A=2,B=6,C=7
Now, find the discriminant D,
D=B24AC
=(6)24(2)(7)
=3656
=20
Since the discriminant is negative then the quadratic equation will have no real solution.
Hence, the given quadratic equation has no real solution.

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