Question

Solve the quadratic equation x^2+6x-10=0 using formula

Answer 1

Given,

The quadratic equation is : x²+6x-10 = 0

To find,

Solving the given quadratic equation.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

If we compare the given quadratic equation with the general form of a quadratic equation then we will get that,

a = 1

b = 6

c = -10

According to the Sridhar Acharya formula,

x = {-b ± √(b²-4ac)}/2a

x = -6±√(6²-4×1×(-10))/2×1

x = (-6± √36+40)/2

x = (-6±√76)/2

x = (-6± 2√19)/2

x = (-6)/2 ± (2√19)/2

x = -3±√19

So,

x = -3+√19 = 1.3589

x = -3-√19 = -7.3589

Hence, the values of x are 1.3589 and -7.3589