Solve Using the Quadratic Formula 4x^2-25=0

Problem

4*x2−25=0

Solution

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

a=4

b=0

c=−25

2. Apply the quadratic formula which is x=(−b±√(,b2−4*a*c))/(2*a)

x=(−0±√(,0−4*(4)*(−25)))/(2*(4))

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

x=(±√(,0+400))/8

x=(±√(,400))/8

4. Evaluate the square root and simplify the fraction.

x=(±20)/8

5. Reduce the fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor, 4.

x=±5/2

Final Answer

x=±5/2

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