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OpenStudy (anonymous):
What are the approximate solutions of 5x2 − 7x = 1 rounded to the nearest hundredth?
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OpenStudy (helder_edwin):
your equation can be rewritten into
\[ \large 5x^2-7x-1=0 \]
use the general formula. do u know it?
OpenStudy (anonymous):
well it's x=0.16 or x=1.24
OpenStudy (anonymous):
try using the quadratic formula yourself and checking with my answers.
OpenStudy (anonymous):
No real solutions
x ≈ −0.65 and x ≈ 7.65
x ≈ −1.53 and x ≈ 0.13
x ≈ −0.13 and x ≈ 1.53
these are the answer choices.
OpenStudy (helder_edwin):
it is the 3rd one
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OpenStudy (helder_edwin):
but do u know how to get this
OpenStudy (anonymous):
just plug in
OpenStudy (anonymous):
no, could you please explain?
OpenStudy (helder_edwin):
the cuadratic formula gives u
\[ \large x=\frac{7\pm\sqrt{49-4\cdot5\cdot(-1)}}{10}=\frac{7\pm\sqrt{69}}{10} \]
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OpenStudy (anonymous):
okay thank you
OpenStudy (helder_edwin):
finally
\[ \large \sqrt{69}\approx8.3066 \]
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