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

Problem

16*x2−25=0

Solution

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

a=16

b=0

c=−25

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

x=(−0±√(,0−4*(16)*(−25)))/(2*(16))

3. Simplify the expression under the square root, also known as the discriminant.

x=(±√(,1600))/32

4. Evaluate the square root of 1600

x=(±40)/32

5. Reduce the fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor, which is 8

x=±5/4

Final Answer

16*x2−25=0⇒x=5/4,−5/4

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