Question

Use the quadratic formula to solve 2x^2=5x+6. Leave your answer in radical form. Show all of your work!

Answer 1

In radical from 169/50 , 177/200

Explanation:

Given:

`2x^2=5x+6\\\\2x^2-5x-6=0\\\\Where, a=2 , b=-5 , c=-6`

Find:

Value of
`x`

Computation:

Using quadratic formula:

`(-b\±√(b^2-4ac) )/(2a)\\\\By\ putting\ all\ value\\\\ (-(-5)\±√((-5)^2-4(2)(-6)) )/(2(2))\\\\ (5\±√(25+48) )/(4)\\\\ (5\±8.54 )/(4)\\\\(5+8.54 )/(4),(5-8.54 )/(4) \\\\3.38 , 0.885`

Value of
`x` 3.38 , 0.885

In radical from 169/50 , 177/200