Question

solve the following quadratic equations find value of x

Answer 1

Hi there !!
Here's your answer

Given,

To find the value of x in the quadratic equation,

x² - 3✓3x + 6 = 0

This can be done by the method of splitting of the middle term

so,

x² - 2✓3 x - ✓3x + 6 = 0

Taking out common factors,

x(x - 2✓3) - ✓3(x - 2✓3) = 0

So,

(x - ✓3)(x - 2✓3) = 0

x - ✓3 = 0
x = ✓3 ____(i)

and

x - 2✓3 = 0
x = 2✓3

Thus,
x = ✓3 and 2✓3

Answer 2

x^2 - 3√3x +6 = 0
x^2 - √3x - 2√3x + 6 = 0
x(x-√3)-2√3(x-√3) =0
(x-2√3)(x-√3) =0
x = 2√3 or x = √3
Hope it helps.