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

1 Answer

5 votes

Answer:

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

User Charles HETIER
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