Question

Select the two values of x that are roots of this equation.
2x2 + 1 = 5x

Answer 1

x=2.81 or x=0.219

Explanation:

We are given, the equation;

2x² + 1 = 5x

We are required to solve the equation;

Rearranging the equation;

2x² - 5x + 1 = 0

We can solve the equation using quadratic formula;

`x=(-b+/-√(b^2-4ac) )/(2a)`

In this case;

a = 2, b = -5 and c=1

Therefore;

`x=(5+/-√(5^2-4(2)(1)) )/(2(2))`

`x=(5+/-√(17) )/(4)`

`x= (5+√(17) )/(4)` or
`x=(5-√(17) )/(4)`

Therefore;

`x=2.81` or
`x=0.219`