Question

Find the x intercepts 8x^2-22x+5

Answer 1

`x_1= \frac{20}8 = \frac52; x_2= \frac28`

Explanation:

the x intercepts are the solutions to the equation

`8x^2-22x+5 = 0`. Quadratic formula it is, unless you can spot one right off the bat. Reduced version since the linear term is even.

`\frac \Delta 4 = 11^2 -40 = 121-40 =81 = 9^2\\x_(1,2)= \frac{11\pm9} 8\\x_1= \frac{20}8 = \frac52; x_2= \frac28= \frac14`