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Solve by using the Quadratic Formula:5n2+4n-4=0

Short Answer

Expert verified

The solution of the quadratic equation isn=-2±265

Step by step solution

01

Given information

We are given a quadratic equation5n2+4n-4=0

02

Identify the values of a,b,c

On comparing with standard equation we geta=5,b=4,c=-4

03

Write quadratic formula and substitute the values of a,b,c

The quadratic formula can be given as

n=-b±b2-4ac2a

On substituting the values we get

n=-4±16-4(5)(-4)2(5)

04

Simplify

On simplifying we get

n=-4±16+8010n=-4±4610

05

 Factor out and remove the common factor

We get

n=2(-2±26)10n=-2±265

06

Conclusion

The root of the equation is n=-2±265

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