Solve Using the Quadratic Formula x^2+7x-3=0

Problem

x2+7*x−3=0

Solution

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

a=1

b=7

c=−3

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 into the quadratic formula.

x=(−(7)±√(,(7)2−4*(1)*(−3)))/(2*(1))

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

x=(−7±√(,49+12))/2

x=(−7±√(,61))/2

5. Separate the expression into the two possible solutions for x

x=(−7+√(,61))/2

x=(−7−√(,61))/2

Final Answer

x=(−7±√(,61))/2

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