SOLUTION: Solve the following quadratic equations (if possible)*True or False* using the emojis as independent variables. Feel free to copy and paste the soccer ball to show your work. a.

SOLUTION: Solve the following quadratic equations (if possible)True or False using the emojis as independent variables. Feel free to copy and paste the soccer ball to show your work. a.

Question 1203120: Solve the following quadratic equations (if possible)*True or False* using the emojis as independent variables. Feel free to copy and paste the soccer ball to show your work.
a.) 12⚽ ² - 75 =0
⚽ = ?

b.) 3⚽ ² +7= -7⚽
⚽ = ?

c.) - 5(⚽+3)² +9= -71
⚽ = ?

d.) 3⚽ ² - 5⚽+ 15= - 3⚽ ² +6⚽+50
⚽ = ?

Found 3 solutions by math_tutor2020, josgarithmetic, ikleyn:
Answer by math_tutor2020(3816)   (Show Source): You can put this solution on YOUR website!

Why is your teacher insisting on you use emojis as the variable?
A simple letter would suffice.

I'll do part (a) to get you started.
12x^2 - 75 = 0
12x^2 = 75
x^2 = 75/12
x^2 = 6.25
x = plus minus sqrt(6.25)
x = sqrt(6.25) or x = -sqrt(6.25)
x = 2.5 or x = -2.5
x = 5/2 or x = -5/2

Another approach for part (a) involves the quadratic formula
a = 12, b = 0, c = -75

or

or

or

or
The quadratic formula involves more work, compared to the first method, but it's good to get practice with alternative routes.

Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
(d)

Instructions seem inconsistent. "Solve" or determine if True or False? Which? Assuming decide if T or F.

v for the variable

Try take righthand side, for identical degree-two term.

The corresponding terms must be equal; and they are obviously not.
Degree-one terms not equal. Degree-zero, the constant terms are not equal.

The given equation is false. The equation can be solved; but that was not the question.
Answer by ikleyn(52778)   (Show Source): You can put this solution on YOUR website!
.

Looking into this assignment, my impression is

*************************************************

        darkness deepens

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