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If b, c, and h are constants such that x2 + bx + c = (x + h)2, what is
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26 Oct 2021, 01:36
26 Oct 2021, 01:36
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87% (01:37) correct
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If b, c, and h are constants such that x2+bx+c=(x+h)2, what is the value of c if b = 10?
See more on these concepts our GRE Quant Book and the GRE Math Essentials project
Show: ::
25
See more on these concepts our GRE Quant Book and the GRE Math Essentials project
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Joined: 10 Apr 2015
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Re: If b, c, and h are constants such that x2 + bx + c = (x + h)2, what is
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26 Oct 2021, 05:59
26 Oct 2021, 05:59
1
Carcass wrote:
If b, c, and h are constants such that x2+bx+c=(x+h)2, what is the value of c if b = 10?
See more on these concepts our GRE Quant Book and the GRE Math Essentials project
Show: ::
25
See more on these concepts our GRE Quant Book and the GRE Math Essentials project
Given: x2+bx+c=(x+h)2
Expand the right side to get: x2+bx+c=x2+2hx+h2
Substitute b=10 to get: x2+10x+c=x2+2hx+h2
When we compare the two equations we can see that 10=2h, which we can solve to get h=5
Substitute h=5 to get: x2+10x+c=x2+2(5)x+52
Evaluate to get: x2+10x+c=x2+10x+25
At this point it's clear that x=25
Answer: 25
Re: If b, c, and h are constants such that x2 + bx + c = (x + h)2, what is
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30 Sep 2024, 17:17
30 Sep 2024, 17:17
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