Question

Solve 3x2 + 5x + 7 = 0. Round solutions to the nearest hundredth.

No real solutions

x ≈ −6.34 and x ≈ 1.34

x ≈ −0.45 and x ≈ 2.11

x ≈ −2.11 and x ≈ 0.45

Answer 1

roots of equation:
\[ax^2+bx+c=0\]
are
\[x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}\]

Answer 2

now we have a=3 , b=5 and c=7
what will u get if u put them in the formula?

Answer 3

notice
\[b^2-4ac=5^2-4*3*7=25-84=-59\]
is a negative number