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Question

Solve the following quadratic equations using formula.
x2 + 3x – 10 = 0


Solution

Given: x2 + 3x – 10 = 0
On comparing this equation with ax2 + bx + c = 0, we get:
a = 1, b = 3, c = –10
For the quadratic equation ax2 + bx + c = 0, we know that the quadratic formula is x=-b±b2-4ac2a
On substituting a = 1, b = 3, c = –10, we get:

x=-3±(3)2-4(1)(-10)2(1)   =-3±9+402   =-3±492   =-3±72   =-3+72,-3-72   =42,-102   =2,-5
 
Thus, the solution of the given quadratic equation is x = –5, 2.

Mathematics
Mathematics (Algebra)
Standard X

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