The discriminant is –135.
9-5 Solving Quadratic Equations by Using the Quadratic Formula
Since the discriminant is negative, the equation has no real solutions.
2
37. x
−
x = 3
SOLUTION:
Write the equation in standard form.
For this equation, a = 1, b = – , and c = –3.
The discriminant is 12.64.
Since the discriminant is positive, the equation has two real solutions.
2
38. 0.5x
− 2x = −2
SOLUTION:
Write the equation in standard form.
For this equation, a = 0.5, b = –2, and c = 2.
The discriminant is 0.
Since the discriminant is 0, the equation has one real solution.
2
39. 2.25x
− 3x = −1
SOLUTION:
Write the equation in standard form.
For this equation, a = 2.25, b = –3, and c = 1.
The discriminant is 0.
Since the discriminant is 0, the equation has one real solution.
40.
SOLUTION:
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Write the equation in standard form.