Mathematics: 32x - 4 = 4x2 + 60 for the equation shown, choose the description of the solutions.

(180(n+2))/nwhere n is the number of sides...

32x - 4 = 4x2 + 60 for the equation shown, choose - id32442604819990, ayoismeisalex

ragegamer334p3xlso

16.01.2022

Two real and equal solutions.

Step-by-step explanation:

We have been given an equation 32x-4=4x^2+60 . We are asked to find the type of solutions of our given equation.

First of all, we will gather all terms on left side of our equation using opposite operations:

-4x^2+32x-4-60=4x^2-4x^2+60-60

-4x^2+32x-64=0

Dividing our equation by -4 we will get,

x^2-8x+16=0

To determine the type of solutions for our given problem, we will use discriminant formula.

D=b^2-4ac

b = Coefficient of x term,

a = Leading coefficient,

c = Constant term.

Upon substituting our given values in discriminant formula, we will get,

D=(-8)^2-4(1)(16)

D=64-64

D=0

The interpretations for the value of D are as follows:

$D=0;\text{ Two real and equal roots}$

$D0;\text{ Two real and distinct roots}$

Since the value of D is equal to 0 for our given equation, therefore, our given equation will have two real and equal roots or solutions.

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