Question

What are the solutions to x^2-5x+3=0?

Answer 1

Explanation:

You need to use the quadratic equation

x =
`(-b +/- √(b^2 - 4ac) )/(2a)`

Givens

• a = 1
• b = - 5
• c = 3

x =
`(5 +/- √(5^2 - 4a*1*3) )/(2) \\`

x =( 5 +/- sqrt(25 - 12) ) / 2

x = (5 +/- sqrt(13) )/2

x = (5 + sqrt(13) / 2

x = 4.303 rounded

x = (5 - sqrt(13) ) /2

x = .6972