Question

What are the zeros of the quadratic function f(x) = 2x2 – 10x – 3?

Answer 1

A on edg

Explanation:

Answer 2

`f(x) = 2x^2-10x-3 \\ \Delta = 100-4\cdot 2\cdot (-3) = 100+24 = 124 \\ √(\Delta) = √(124) = √(4\cdot31) = 2√(31)`

So the solutions of this equation are
`x_1 = (10-2√(31))/(2\cdot2) = (5-√(31))/(2)` and
`x_2 = (5+√(31))/(2)`.