Use the discriminant to describe the roots of each equation. then select the best description. 7x2 + 3 = 8x double root real and rational root real and irrational root imaginary root

imaginary root

Step-by-step explanation:

7x^2 + 3 = 8x

Subtract 8x from each side

7x^2 -8x+ 3 = 8x-8x

7x^2 -8x+3 =0

This is in the form ax^2 +bx+c

The discriminant is b^2 -4ac

a=7 b=-8 c=3

b^2-4ac  = (-8)^2 -4(7)(3) = 64 - 84 = -20

Since this is negative, we have imaginary roots

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: