Solve Using the Quadratic Formula 25x^2-9=0

Problem

25*x2−9=0

Solution

1. Identify the coefficients for the quadratic equation in the form a*x2+b*x+c=0 where a=25 b=0 and c=−9

2. State the quadratic formula used to find the roots of the equation.

x=(−b±√(,b2−4*a*c))/(2*a)

3. Substitute the values of a b and c into the formula.

x=(−0±√(,0−4*(25)*(−9)))/(2*(25))

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

x=(±√(,900))/50

5. Evaluate the square root of 900

x=(±30)/50

6. Reduce the fraction to its simplest form to find the two possible values for x

x=±3/5

Final Answer

x=±3/5

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