Question

Use the quadratic formula to solve the equation 3x^2+ 7x - 11 =0 You must show all your working and give your answers correct to 2 decimal places.

Answer 1

Answer:

Step-by-step explanation:

Hello, please consider the following.

$3x^2+ 7x - 11 =0\\\\\Delta=b^2-4ac=7^2-4*3*(-11)=49+132=181\\\\x_1=\dfrac{-b-\sqrt{\Delta}}{2a}=\dfrac{-7-\sqrt{181}}{6}=-3.40894...\\\\x_2=\dfrac{-b+\sqrt{\Delta}}{2a}=\dfrac{-7+\sqrt{181}}{6}=1.075604...$

So, it gives -3.41 and 1.08

Thank you.