Question

Solve for x :
2x2 + 5v5 x - 15 = 0​

Answer 1

Answer:

$x= \frac{5}{2} , x = -3\sqrt{5}$

Step-by-step explanation:

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

Multiplying by 15 and 2 we get 30,

So the prime factors of 30 in form of roots we get,

√5 x √5 x √3 x √3 x √2 x √2 = 30

So , 6√5 - √5 = 5√5

So splitting the middle term we get,

$2x^{2} + 6\sqrt{5} x - \sqrt{5} x - 15 = 0\\2x( x + 3\sqrt{5}) - \sqrt{5} ( x + 3\sqrt{5} ) = 0\\ (2x-5) ( x + 3\sqrt{5} ) = 0 \\x = \frac{5}{2} , x = - 3\sqrt{5}$

Hope this helps you.....

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