Question

Use the quadratic formula to solve for X. 3x^2 = -3x +7

Answer 1

Answer:

The solutions are:

x = -2.11 or 1.11

Step-by-step explanation:

Given the equation:

`3x^2=-3x+7`

This can be written as:

`3x^2+3x-7=0`

Comparing this with the general equation;

`ax^2+bx+c=0`

We see that;

`\begin{gathered} a=3 \\ b=3 \\ c=-7 \end{gathered}`

The quadratic formula is:

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

Substitute the values of a, b, and c

`\begin{gathered} x=\frac{-3\pm\sqrt[]{3^2-4*3*(-7)}_{}}{2*3} \\ \\ =\frac{-3\pm\sqrt[]{9+84}}{6} \\ \\ =\frac{-3\pm\sqrt[]{93}}{6} \\ \\ =(-3\pm9.64)/(6) \\ \\ x=(-3+9.64)/(6)=1.11 \\ \\ OR \\ x=(-3-9.64)/(6)=-2.11 \end{gathered}`