Jen solved the equation 100 minus one-half x equals 92 to determine the number of questions, x, she answered incorrectly on a te
2 answers:
The options are:
A. Incorrect. She needed to add 100 to both sides instead of subtracting 100.
B. Incorrect. She needed to multiply both sides by –2 first, then subtract 100
C. Correct. She could have also subtracted 100 from both sides, then divided by -2
D. Correct. She could have also multiplied both sides by –2 first, then subtracted 100.
Answer:
C. Correct. She could have also subtracted 100 from both sides, then divided by -2
Step-by-step explanation:
Given
Required
Describe the accuracy in her work
First, she needed to subtract 100 from both sides
Then multiply through by -2
<em>Hence, option (c) is correct.</em>
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Answer:
Step-by-step explanation:
Given equation is,
x² + (p + 1)x = 5 - 2p
x² + (p + 1)x - (5 - 2p) = 0
x² + (p + 1)x + (2p - 5) = 0
Properties for the roots of a quadratic equation,
1). Quadratic equation will have two real roots, discriminant will be greater than zero. [(b² - 4ac) > 0]
2). If the equation has exactly one root, discriminant will be zero [(b² - 4ac) = 0]
3). If equation has imaginary roots, discriminant will be less than zero [(b² - 4ac) < 0].
Discriminant of the given equation =
For real roots,
p² + 2p + 1 - 8p + 20 > 0
p² - 6p + 21 > 0
For all real values of 'p', given equation will be greater than zero.