Question

I need to know the steps to solve this equation using the quadratic formula.

Answer 1

Given a quadratic equation with the following form

`ax^2+bx+c=0`

By the quadratic formula, the solutions are given by the following expression

`x_(\pm)=(-b\pm√(b^2-4ac))/(2a)`

In our problem we have the following equation

`4x^2-7x+3=0`

Therefore, our coefficients are

`\begin{gathered} a=4 \\ b=-7 \\ c=3 \end{gathered}`

Plugging those values into the quadratic formula, we have

`x_(\pm)=(-(-7)\pm√((-7)^2-4(4)(3)))/(2(4))`

Solving this equation, we have