SOLUTION: Complete parts a-c for each quadratic equation a) find the value of the discriminant b) describe the number and type of roots c) find the exact solutions by using the Quadratic

Question 182117This question is from textbook Algebra2
: Complete parts a-c for each quadratic equation
a) find the value of the discriminant
b) describe the number and type of roots
c) find the exact solutions by using the Quadratic Formula
18) -12x^2+5x+2=0 This question is from textbook Algebra2

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
18) -12x^2 + 5x + 2 = 0
:
a) find the value of the discriminant
discrim = b^2 - 4*a*c
In this equation: a=-12; b=5; c=2, so we have
d = 5^2 + 4 * -12 * 2
d = 25 - (-96)
d = 25 + 96
d = +121
:
b) describe the number and type of roots
d > 0 therefore, two different real roots
:
c) find the exact solutions by using the Quadratic Formula

we already found the value of the discriminant, so we can write it

Two solutions:

and

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