Question

Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.

x^2 - 3 = -2x

Answer 1

x=1 or x=-3

Explanation:

Given equation is:

x²-3=-2x

We have to find the value of x.

x²-3=-2x

Adding 2x to both sides of above equation,we get

x²-3+2x=-2x+2x

x²+2x-3=0 eq(1)

ax²+bx+c=0 is general form of quadratic equation.

x= (-b±√b²-4ac)/2a is quadratic formula to find the value of x.

Comparing eq(1) with general quadratic equation,we get

a=1 b=2 and c=-3

Putting above values in quadratic formula,we get

x= (-2±√2²-4(1)(-3))/2(1)

x=(-2±√4+12)/2

x=(-2±√16)/2

x=(-2±4)/2

x=-2+4/2 or x=-2-4/2

x=2/2 or x=-6/2

x=1 or x=-3 is solution of given equation.

Answer 2

The final answers are x = 1 OR x = -3.

Explanation:

Given the equation is x^2 -3 = -2x

Rewriting it in quadratic form as:- x^2 +2x -3 = 0.

a = 1, b = 2, c = -3.

Using Quadratic formula as follows:- x = ( -b ± √(b² -4ac) ) / (2a)

x = ( -2 ± √(4 -4*1*-3) ) / (2*1)

x = ( -2 ± √(4 +12) ) / (2)

x = ( -2 ± √(16) ) / (2)

x = ( -2 ± 4 ) / (2)

x = (-2+4) / (2) OR x = (-2-4) / (2)

x = 2/2 OR x = -6/2

x = 1 OR x = -3

Hence, final answers are x = 1 OR x = -3.