Question

Examine whether the following quadratic equations have real roots or not:
x2 — 10x + 2 = 0

Answer 1

Step-by-step explanation:

compare with ax2+bx+c

a=1 ; b= -10; c = 2

b2-4ac

100-8 = 92..... value is positive and more than 0

then root are real

Answer 2

Answer:

the roots are not real because,,,,,

Step-by-step explanation:

Given quadratic equation is x²-10x+2

comparing the above equation with ax²+bx+c ,

therefore, a=1, b=-10 and c=2

b²-4ac=(-10) ²-4×1×2

=100-8

=92

x=-b±√b²-4ac/2a=0

=10±√92/2=0

=10±2√23/2=0

=10+2√23/2=0 or

10-2√23/2=0

= 14.79858 or 5 .20

both the roots are greater than zero

therefore roots are not real of the given quadratic equation....