Solving Quadratic Equations By Using The Quadratic Formula Worksheet With Answers Page 6
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419-5 Solving Quadratic Equations by Using the Quadratic Formula
The solutions are
.
2
10. x
− 9x = −19
SOLUTION:
Solve by using the quadratic formula.
Write the equation in standard form.
For this equation, a = 1, b = –9, and c = 19.
Quadratic Formula:
The solutions are 5.6 and 3.4.
State the value of the discriminant for each equation. Then determine the number of real solutions of the
equation.
2
11. x
− 9x + 21 = 0
SOLUTION:
For this equation, a = 1, b = –9, and c = 21.
The discriminant is –3.
Since the discriminant is negative, the equation has no real solutions.
2
12. 2x
− 11x + 10 = 0
SOLUTION:
For this equation, a = 2, b = –11, and c = 10.
The discriminant is 41.
Since the discriminant is positive, the equation has two real solutions.
2
13. 9x
+ 24x = −16
SOLUTION:
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Write the equation in standard form.
Page 6
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