Question

This is the graph of y = x2 -7x + 3. Work out x2 -7x + 3 = 0 (careful with the scale).

Answer 1

x=6.54138

x=0.458619

Explanation:

using the Quadratic Formula where

a = 1, b = -7, and c = 3

x=−b±
`\sqrt{b^(2) -4ac}`/2a

x=−(−7)±√[(−7)2−4(1)(3)]/2(2)

x=7±√(49−12)/2

x=7±√37/2

The discriminant b2−4ac>0

so, there are two real roots.

Cannot Simplify the Radical:

x=
`(7+-\\√(37) )/(2)`

which becomes

x=6.54138

x=0.458619