janpalo0r4rieliam
Answered

what are the approximate solutions of 2x2 − 7x = 3, rounded to the nearest hundredth?


no real solutions

x ≈ −0.77 and x ≈ 7.77

x ≈ −0.39 and x ≈ 3.89

x ≈ −3.89 and x ≈ 0.39

Verified Answer :

dalendrk

\(2x^2-7x=3\\2x^2-7x-3=0\\\\a=2;\ b=-7;\ c=-3\\\Delta=b^2-4ac\\\\\Delta=(-7)^2-4\cdot2\cdot(-3)=49+24=73 \ \textgreater \ 0\\\\therefore\\x_1=\dfrac{-b-\sqrt\Delta}{2a}\ and\ x_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\x_1=\dfrac{7-\sqrt{73}}{2\cdot2}=\boxed{\dfrac{7-\sqrt{73}}{4}\approx-0.39}\\\\x_2=\dfrac{7+\sqrt{73}}{2\cdot2}=\boxed{\dfrac{7+\sqrt{73}}{4}\approx3.89}\)

Nerfwolf33445

x ≈ −0.39 and x ≈ 3.89 or C is the correct answer!

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