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OpenStudy (anonymous):
Can someone check my answer please?
rad(x+1)+4=2x
I got x=-5
11 years ago
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OpenStudy (anonymous):
\[\sqrt{x+1}+4=2x\]
11 years ago
OpenStudy (anonymous):
\[2(\sqrt{x=1})=(2x-4)2\]
\[x+1=4x+16\]
\[-3x=15\]
\[x=-5\]
11 years ago
OpenStudy (jdoe0001):
\(\bf (2x-4)^2\implies (2x-4)(2x-4) \ne 2^2x-4^2\)
11 years ago
OpenStudy (anonymous):
Okay so my answer is wrong? @jdoe0001
11 years ago
OpenStudy (jdoe0001):
yeap
11 years ago
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OpenStudy (anonymous):
Then what do I do?
11 years ago
OpenStudy (jdoe0001):
is a quadratic...so it should have 2 values
11 years ago
OpenStudy (anonymous):
How do I get the two values? I'm confused on where to start now
11 years ago
OpenStudy (jdoe0001):
\(\bf \sqrt{x+1}+4=2x\implies x+1=(2x-4)^2
\\ \quad \\
x+1=(2x)^2-2(2x)(4)+(4)^2\implies x+1=4x^2-16x+16
\\ \quad \\
0=4x^2-17x+15\)
11 years ago
OpenStudy (nikato):
You messed up on your first/second step when you were trying to get rid of the radical sign
You multiplied both sides by 2
When you should have squared both sides.
Multiplying by 2 doesn't get rip do the radical sign
11 years ago
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OpenStudy (jdoe0001):
in order to get rid of the root, you raise the term by THAT MUCH
in this case, since the root is 2, you raise it by 2
11 years ago
OpenStudy (anonymous):
okay thanks that makes more sense! @jdoe0001
11 years ago
OpenStudy (jdoe0001):
yw
11 years ago
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