Number of solutions of quadratic equations

Discriminant = 120

Number of x intercepts = 2

Explanation:

The equation is of the form ax^2+bx+c with:

a = -7

b = 8

c = 2

The discriminant is

d = b^2 - 4ac

d = 8^2 - 4(-7)(2)

d = 64 + 56

d = 120

The discriminant is positive, meaning there are 2 different x intercepts.

If d = 0, then we'd have only one x intercept.

If d < 0, then there wouldn't be any x intercepts.

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step-by-step explanation:

step-by-step explanation:

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