Question

Find the solution to the following quadratic.2x^2 – 8x + 10 = 0

Answer 1

1) Solving the quadratic equation 2x²-8x +10=0

Let's solve this using the Resolutive form, let's start by finding the Discriminant

`\begin{gathered} \Delta=b^2-4ac\rightarrow\Delta=(-8)^2-4(2)(10)\rightarrow\Delta=64-80\text{ } \\ \Delta=-16 \end{gathered}`

1.2 Since the Discriminant is a negative value, we know that this equation has complex roots and the parabola does not intercept the x-axis

Let's carry on