Solve Using the Quadratic Formula 4x^2-20x+25=0

Problem

4*x2−20*x+25=0

Solution

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

a=4

b=−20

c=25

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=(−(−20)±√(,(−20)2−4*(4)*(25)))/(2*(4))

4. Simplify the expression inside the square root, which is the discriminant.

x=(20±√(,400−400))/8

5. Evaluate the square root and simplify the fraction.

x=(20±√(,0))/8

x=20/8

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

x=5/2

Final Answer

4*x2−20*x+25=0⇒x=5/2

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