Question

x square minus root 2 x minus 3 by 2 factorise​

Answer 1

x²-√2x-3 by 2 whats is your means

Answer 2

The factories form is $x^2-\sqrt2 x-\frac{3}{2}=(x-\frac{3\sqrt{2}}{2})(x+\frac{\sqrt{2}}{2})$.

Step-by-step explanation:

Given : Quadratic polynomial $x^2-\sqrt2 x-\frac{3}{2}$.

To find : Factories the polynomial ?

Solution :

Using quadratic formula, $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Here, a=1, $b=-\sqrt{2}, c=-\frac{3}{2}$

Substitute the value,

$x=\frac{-(-\sqrt{2})\pm\sqrt{(-\sqrt2)^2-4(1)(-\frac{3}{2})}}{2(1)}\\\\x=\frac{\sqrt{2}\pm\sqrt{2+6}}{2}\\\\x=\frac{\sqrt{2}\pm\sqrt{8}}{2}\\\\x=\frac{\sqrt{2}\pm\2sqrt{2}}{2}\\\\x=\frac{\sqrt{2}(1\pm 2)}{2}\\\\x=\frac{3\sqrt{2}}{2},-\frac{\sqrt{2}}{2}$

The factories form is $x^2-\sqrt2 x-\frac{3}{2}=(x-\frac{3\sqrt{2}}{2})(x+\frac{\sqrt{2}}{2})$.

#Learn more

Factorise 5-(3x^2-2x)(6-3x^2+2x)

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