Find the roots of quadratic equation x2−5x+4=0.
4
1
Given equation is x2−5x+4=0
For the standard form of quadratic equation ax2 + bx + c = 0, roots are −b±√b2−4ac2a.
Here, a=1,b= –5,c=4
∴ Roots of the quadratic equation x2−5x+4=0 are:
x=5±√25−162 =(5±3)2 =4,1
Thus, the roots of quadratic equation x2−5x+4=0 are 4 & 1.