Question

Solve for x. Round your answer to the nearest hundredth.

Answer 1

Choice A is correct answer.

Explanation:

Given equation is :

x²+6x+3= 0

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

x = (-b±√b²-4ac) / 2a is quadratic formula to solve general quadratic equation.

Comparing given equation with general quadratic equation,we get

a = 1 , b = 6 and c = 3

Putting above values in quadratic formula, we get

x = (-6±√6²-4(1)(3)) / 2(1)

x = (-6±√36-12) / 2

x = (-6±√24) / 2

x = (-6±√6×4) / 2

x = (-6±2√6) / 2

x = 2(-3±√6) / 2

x = -3±√6

x= -3±2.45

x = -3+2.45 or x = -3-2.45

x = -.55 or -5.45

Hence, the solution of given equation is x = -5.45 or x= -.55

Answer 2

Explanation:

Here we need to find the x for the given equation so we can use the concept of the quadratic formula to solve .

comparing the given equation with an standard quadratic equation we get

a=1

b=6

c=3

so applying the quadratic formula we get

`x=(-6+-√(6^2-4*1*3) )/(2*1)`

`x=(-6+-√(24) )/(2)`

which can be further simplified to get

x=-5.45 or x=-0.55

so correct option is A