Solving Quadratic Equations By Using The Quadratic Formula Worksheet With Answers Page 26

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The discriminant is –17.9.
9-5 Solving Quadratic Equations by Using the Quadratic Formula
Since the discriminant is negative, the graph of the function will not have any x-intercepts.
44. 
SOLUTION:  
Write the equation in standard form.
For this equation, a = 1, b =
, and c =
.
The discriminant is 0.04.
Since the discriminant is positive, the graph of the function will have two x-intercepts.
2
45. 0.25x
+ x = −1
SOLUTION:  
Write the equation in standard form.
For this equation, a = 0.25, b = 1, and c = 1.
The discriminant is 0.
Since the discriminant is 0, the graph of the function will have one x-intercept.
Solve each equation by using the Quadratic Formula. Round to the nearest tenth if necessary.
2
46. −2x
− 7x = −1.5
SOLUTION:  
Write the equation in standard form.
For this equation, a = –2, b = –7, and c = 1.5.
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