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Question
If x = −4 is a root of the quadratic equation 2x2 − 7x + q = 0, then find the value of q.
Sum
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Solution
Given:
2x2 − 7x + q = 0
Substitute x = −4:
2(−4)2 − 7(−4) + q = 0
2(16) + 28 + q = 0
32 + 28 + q = 0
60 + q = 0
q = −60
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