How do you solve -7x ^ { 2} + 2x + 4= 0?

1 Answer
Jan 20, 2018

x~~-0.63,0.91

Explanation:

The equation is in the form of ax^2+bx+c=0 for a!=0, so we can use the quadratic formula, which states that

x=(-b+-sqrt(b^2-4ac))/(2a)

where there are two solutions for x.

Plugging in a=-7, b=2, and c=4, we get

x=(-2+-sqrt(2^2-(4*-7*4)))/-14

x=(-2+-sqrt(4+112))/-14

xapprox(-2+-10.77)/-14

xapprox 8.77/-14,(-12.77)/-14

xapprox -0.63,0.91