Solve Using the Quadratic Formula 25x^2-16=0

Problem

25*x2−16=0

Solution

1. Identify the coefficients for the quadratic equation in the form a*x2+b*x+c=0

a=25

b=0

c=−16

2. Substitute the values into the quadratic formula.

x=(−b±√(,b2−4*a*c))/(2*a)

x=(−0±√(,0−4*(25)*(−16)))/(2*(25))

3. Simplify the expression inside the square root (the discriminant).

x=(±√(,0+1600))/50

x=(±√(,1600))/50

4. Evaluate the square root.

x=(±40)/50

5. Reduce the fractions to find the two possible values for x

x=40/50=4/5

x=−40/50=−4/5

Final Answer

x=±4/5

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