Question

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

Answer 1

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

Answer 2

`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=(-b-\sqrt\Delta)/(2a)\ and\ x_2=(-b+\sqrt\Delta)/(2a)\\\\x_1=(7-√(73))/(2\cdot2)=\boxed{(7-√(73))/(4)\approx-0.39}\\\\x_2=(7+√(73))/(2\cdot2)=\boxed{(7+√(73))/(4)\approx3.89}`