factorise: 3x - root2 - 2
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Secondary School Science 5 points
Factorise root 2x2 + 3x + root 2
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(x=-\sqrt{2}),\left(x=-\frac{1}{\sqrt{2}}\right)
SOLUTION:
Using quadratic equation, we find the root of the equation \sqrt{2} x^{2}+3 x+\sqrt{2}
First, we divide the value of 3 into 2 and after that the equation will look like this
\sqrt{2} \mathrm{x}^{2}+2 \mathrm{x}+\mathrm{x}+\sqrt{2}
The 2 as common for the first part and 1 for the second part we get
\sqrt{2} \mathrm{x}(\mathrm{x}+\sqrt{2})+1(\mathrm{x}+\sqrt{2})
Therefore, joining the roots, we get
(x+\sqrt{2})(\sqrt{2} x+1)
Hence the value of is either, (x=-\sqrt{2}),\left(x=-\frac{1}{\sqrt{2}}\right).