Use the discriminant to determine the number of solutions and types of solutions for the quadratic equation, below. Then answer the questions in the box. (4 points) x^2+ 8x = 13 A. Discriminant = B. Number of solutions for the quadratic equation = C. Type of solutions (circle one): Real /Imaginary D. Type of solutions (circle one): Rational/irrational

A) Discriminant =  12

B) 2 Solutions

C) Real roots

D) Irrational solutions

Step-by-step explanation:

Given:

A) Discriminant:

The discriminant of the quadratic equation following is equal to . The notation used for the discriminant is Δ (delta), so we have

Now the Discriminant

=  64 - 52

=  12

Thus  12

B. Number of solutions for the quadratic equation

The Given equation is quadratic equation. The quadratic equation has a degree two. when the calculation of the discriminant is a positive number, the equation has two distinct roots.So the number of solutions is 2

C. Type of solutions (circle one):

A positive discriminant indicates that the quadratic has two distinct real number solutions.

Hence the roots are real

D. Type of solutions

The discriminant  is Real but they are not perfect squares . hence the Solutions are irrational

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.

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step-by-step explanation: