Question

Solve for x: 0=5x^2+3x−1.

Answer 1

$\sf\huge \mathbb{\underline{\underline{{Solution}}}}$

The above given Equation 5x²+3x-1 is in the form of a quadratic equation e.g., ax²+bx+c .It can be solve through either middle term splitting method or by using quadratic formula:

Here,middle term splitting is not possible as there are no such factors found to be factorise.

Here ,we solve it by using Quadratic formula:

x= -b±√b²-4ac÷2a

5x²+3x-1

Here ,

a= 5,b= 3 & c= -1

➙x= -3±√3²-4(5)(-1)÷2(5)

➙x= -3±√9-(-20)/10

➙x= -3±√9+20/10

➙x= -3±√29/10

The discriminant b²-4ac is > 0

So,it have two real roots

➙x= -3±√29/10

➙x= -3/10±√29/10

➙x= 0.23 or x = -0.83

Answer 2

➙x= -3±√29/10

➙x= -3/10±√29/10

➙x= 0.23 or x = -0.83