Question

solve for x. x^2-(√3+1)x+√3=0​

Answer 1

Step-by-step explanation:

Step by step solution :

Step 1 :

Equation at the end of step 1 :

3

((x2)-((2•—)•x))+3 = 0

2

Step 2 :

3

Simplify —

2

Equation at the end of step 2 :

3

((x2) - ((2 • —) • x)) + 3 = 0

2

Step 3 :

Trying to factor by splitting the middle term

3.1 Factoring x2-3x+3

The first term is, x2 its coefficient is 1 .

The middle term is, -3x its coefficient is -3 .

The last term, "the constant", is +3

Step-1 : Multiply the coefficient of the first term by the constant 1 • 3 = 3

Step-2 : Find two factors of 3 whose sum equals the coefficient of the middle term, which is -3 .

-3 + -1 = -4

-1 + -3 = -4

1 + 3 = 4

3 + 1 = 4

Answer 2

$hey \: mate \: thank \: for \: the \: question \: \\ hope \: it \: helps \\ = > x {}^{2} - ( \sqrt{3} + 1)x + \sqrt{3} \\ = > x {}^{2} - \sqrt{ 3}x - x + \sqrt{3} \\ = > x(x - \sqrt{3}) - 1(x - \sqrt{ 3}) \\ = > (x - 1)(x - \sqrt{3}) \\ x - 1 = 0 \\ x = 1 \: \: \: \: \: \: \: \: \: x - \sqrt{3 } = 0 \: \: \: \: \: \: \: \: \: \: x = \sqrt{3}$