Use the discriminant to describe the roots of each equation. Then select the best description. 2 = x2 + 5x

double root
real and rational root
real and irrational root
imaginary root

From the standard form equation and from the given equation.

Discriminant Formula

Substitute the value of terms in the discriminant formula.

Discriminant Types

We can rule out the Imaginary root and double root because the discriminant is greater than 0. Therefore, the only choices are either Irrational or Rational.

However, we cannot factor the expression by using two brackets or common factor. We can say that the equation has two real irrational roots.

step-by-step explanation:

answers available in this download

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example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.