Solve Using the Quadratic Formula x^2-7=0

Problem

x2−7=0

Solution

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

a=1

b=0

c=−7

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

x=(−b±√(,b2−4*a*c))/(2*a)

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

x=(−0±√(,0−4*(1)*(−7)))/(2*(1))

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

x=(±√(,28))/2

5. Simplify the radical by factoring out the largest perfect square.

x=(±2√(,7))/2

6. Divide by the denominator to find the final values for x

x=±√(,7)

Final Answer

x=±√(,7)

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