Question

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

Answer 1

Answer:

x=2.81 or x=0.219

Step-by-step 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;

$x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}$

In this case;

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

Therefore;

$x=\frac{5+/-\sqrt{5^2-4(2)(1)} }{2(2)}$

$x=\frac{5+/-\sqrt{17} }{4}$

$x= \frac{5+\sqrt{17} }{4}$  or $x=\frac{5-\sqrt{17} }{4}$

Therefore;

$x=2.81$ or $x=0.219$