Question

Solve for x.

2x^2+7x−5=0



1.) x= 2/(−7±√89)

2.) x=4/(−7±√3)

3.) x= 4/(−7±√89)

4.) x= 2/(−7±√3)

Answer 1

x = (-7 ±√89)/4 . . . . . the inverse of selection 3.)

Explanation:

You have a quadratic ax²+bx+c=0 with a=2, b=7, c=-5. The solution is given by the quadratic formula as ...

... x = (-b ±√(b² -4ac))/(2a)

Putting your values into the formula gives ...

... x = (-7 ±√(7²-4(2)(-5)))/(2(2))

... x = (-7 ±√89)/4

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Comment on answer choices

For whatever reason, the answer choices appear to be "upside down," with numerator and denominator interchanged. The notation a/b means "a divided by b", which is to say that "b" is the denominator.