Question

QUESTION 17The roots of the equation 2x2 + 7x – 3 = 0 are02-7+ 734Ob7+734OcZ and 3Od- and -3

Answer 1

The roots of a qaudartic equation,

`ax^2+bx+c=0`

is,

`x=\frac{-b\pm\sqrt[]{(b)^2-4ac}}{2a}`

The value of a, b and c for the given equation is,

a = 2

b = 7, and

c = -3.

Determine the roots of the quadratic equation.

`\begin{gathered} x=\frac{-7\pm\sqrt[]{(7)^2-4\cdot2\cdot(-3)}}{2\cdot2} \\ =\frac{-7\pm\sqrt[]{49+24}}{4} \\ =\frac{-7\pm\sqrt[]{73}}{4} \end{gathered}`

So option A is correct answer.