Question

5x²-2√15x+3=0 solve by factorisation method

Answer 1

I hope this is helpful for u

Answer 2

Given,

• The quadratic equation $5x^2 -2\sqrt{15}x +3 = 0$ is given.

To find,

• We have to factorize the given quadratic equation.

Solution,

5x²-2√15x+3=0 can be factorized as $(\sqrt{5}x -\sqrt{3})(\sqrt{5}x -\sqrt{3})$.

We can simply factorize the given quadratic equation $5x^2 -2\sqrt{15}x +3 = 0$splitting the middle terms,

            =  $5x^2 -2\sqrt{15}x +3 = 0$

            $= 5x^2 -\sqrt{15}x-\sqrt{15} x+ 3 = 0$

Taking $\sqrt{5}x$ common from the first two terms and $\sqrt{5}$ common from last two terms, we get

            $= \sqrt{5}x ( \sqrt{5} x-\sqrt{3})-\sqrt{3}(\sqrt{5}x-\sqrt{3})$

Taking $\sqrt{5} x-\sqrt{3}$ common, we get

            $=(\sqrt{5}x -\sqrt{3})(\sqrt{5}x -\sqrt{3})$

Hence, 5x²-2√15x+3=0 can be factorized as $(\sqrt{5}x -\sqrt{3})(\sqrt{5}x -\sqrt{3})$.