Question

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

Answer 1

Choice C is correct answer.

Explanation:

Given equation is :

2x²-6x+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 = 2 , b = -6 and c = 3

putting above values in quadratic formula: we get

x = (-(-6)±√(-6)²-4(2)(3)) / 2(2)

x = (6±√36-24) / 4

x = (6±√12) / 4

x = (6±2√3) / 4

x = 2(3±√3) / 4

x = 3±√3 / 2

x = 3±1.73 / 2

x = (3+1.73) / 2 or x = (3-1.73) / 2

x = 4.73 / 2 or x = 1.27 / 2

x = 2.37 or x = .63 is solution of 2x²-6x+3 = 0.

Answer 2

Option B is correct

Explanation:

2x² - 6x + 3 = 0

Using Quadratic formula:

x =
`\frac{-b+-\sqrt{b^(2)-4ac}}{2a}`

a = 2, b = -6, c = 3

x =
`\frac-(-6)+-{\sqrt{(-6)^(2)-4(2)(3)}}{2(2)}`

x =
`\frac{-(-6)+-\sqrt{(-6)^(2)-4(2)(3)}}{2(2)}\\`

`=(6+-√(36-24))/(4)\\\\=(6+-√(12))/(4)\\\\=(6+-3.46)/(4)\\\\`

`=(6+3.46)/(4)`

x = 2.37

`=(6-3.46)/(4)`

x = 0.63