Question

Solve the following quadratic equation by factorisation method x^2-√3x-6=0

Answer 1

Question:

Solve the following quadratic equation by factorization method

$x^{2} -\sqrt{3}x-6=0$

Answer:

$\bigstar\:\underline{\:\underline{\:\bold{ (x-2\sqrt{3} )(x+\sqrt{3} )}\:}\:}\:is\:the\:answer.$

Given:

Quadratic equation is given,

$x^{2} -\sqrt{3}x-6=0$

Step-by-step explanation:

$x^{2} -\sqrt{3}x-6=0$

Product :- -6 = -2√3 × √3

Sum :- -√3 = -2√3 + √3

$\implies x^{2} -2\sqrt{3}x +\sqrt{3}x-6=0$

$\implies x(x-2\sqrt{3} )+\sqrt{3} (x-2\sqrt{3} )$

$\implies\boxed{ (x-2\sqrt{3} )(x+\sqrt{3} )}$

Test yourself:

1. 12y² - 20y + 3

2. x² − 2x − 15

3.  x² − 2x − 15

Answer 2

Answer:

sgt University of what is the