<---- Sponsored ads ------ >

Solve, x2 - 3x - 10 = 0


Solution.

Given equation is x2 - 3x - 10 = 0

Comparing it with the standard Form of Quadratic Equation ax2 + bx + c = 0

a = 1, b = -3, c = -10

As we know, discriminant = b2 - 4ac

Discriminant = (-3)2 - 4(1)(-10)

Discriminant = 9 - (-40)

Discriminant = 49

Since discriminant > 0
Both roots are real and unequal.

Using quadratic formula


Roots(x1, x2) = −b ± √   b2 − 4ac 
         2a          


Roots(x1, x2) = −b ± √ D
         2a          


x1 = −b + √D
         2a          


=   −(-3) + √49
         2(1)          


=    3 + 7
         2          


= 5


x2 = −b - √D
         2a          


=   −(-3) - √49
         2(1)          


=    3 - 7
         2          


= -2


Roots: x1 = 5,     x2 = -2


Sum of roots = -b/a

Sum of roots = -(-3)/(1)

Sum of roots = 3


Product of roots = c/a

Product of roots = (-10)/(1)

Product of roots = -10
<---- Sponsored ads ----- >

© 2020-2030 Amibba Systems Private Limited. All rights reserved.