Question

Do you no the answer to this f(x)=4x^2-17x+3Solve for the values of x

Answer 1

`x=\frac{17+\sqrt[]{241}}{8},\frac{17-\sqrt[]{241}}{8}`

Step-by-step explanation:

Given the below function;

`f(x)=4x^2-17x+3`

Note that a quadratic equation in standard form is generally given as;

`y=ax^2+bx+c`

If we compare both of the equations above, we can deduce that;

`a=4,b=-17,c=3`

We'll now use the below quadratic formula to solve for the values of x as seen below;

`\begin{gathered} x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ x=\frac{17\pm\sqrt[]{(-17)^2-4\cdot4\cdot3}}{2\cdot4} \\ x=\frac{17\pm\sqrt[]{289-48}}{8} \\ x=\frac{17\pm\sqrt[]{241}}{8} \\ \therefore x=\frac{17+\sqrt[]{241}}{8},\frac{17-\sqrt[]{241}}{8} \end{gathered}`