Question

solve X ^2+ 2 root 3 x minus 9 by splitting the middle term​

Answer 1

Answer:

Step-by-step explanation:

x^2+2√3x-9

x^2+3√3x-√3x-9

x(x+3√3)-√3(x+3√3)

(x-√3)(x+3√3)

x=√3 x=-3√3

Answer 2

The correct answer is $3\sqrt{3}$ and $-\sqrt{3}$.

Given: The equation = $x^{2} +2\sqrt{3} x-9$.

To Find: Roots by Middle term splitting.

Solution:

$x^{2} +2\sqrt{3} x-9$

= $x^{2} -3\sqrt{3}x+\sqrt{3}x-9$

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

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

x = $3\sqrt{3}$ and $-\sqrt{3}$.

Hence, the roots of this equation are  $3\sqrt{3}$ and $-\sqrt{3}$.

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