9-5 Solving Quadratic Equations by Using the Quadratic Formula
The solutions are 5 and –2.
2
32. 4x
+ 100 = 0
SOLUTION:
Solve using the quadratic formula.
First, check the value of the discriminant.
For this equation, a = 4, b = 0, and c = 100.
The discriminant is negative, so the equation has no real solutions, ø.
2
33. x
= −7x − 5
SOLUTION:
Solve by completing the square.
2
First, isolate the x- and the x
-terms.
The solutions are –0.8 and –6.2.
2
34. 12 − 12x = −3x
SOLUTION:
Solve by factoring.
Write the equation in standard form.
Factor.
The solution is 2.
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State the value of the discriminant for each equation. Then determine the number of real solutions of the