Question

Find the factors of 2x2 + 3root5x + 5​

Answer 1

Answer:

Step-by-step explanation:

2x^2 + 3 root5 x +5

= 2x^2 + 2root5 x + root5 x + 5

= 2x ( x + root5 ) + root5 ( x + root5 )

= (x + root5 ) (2x + root5 )

X = - root5 or X = - root5 / 2.

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Answer 2

Answer:

( x + $\sqrt{5}$ ) ( 2x + $\sqrt{5}$ )

Step-by-step explanation:

⇒ 2x² + 3$\sqrt{5}$x + 5

⇒ 2x² - 2$\sqrt{5}$x + 5$\sqrt{5}$x + 5

⇒ 2x ( x + $\sqrt{5}$ ) + $\sqrt{5}$ ( x + $\sqrt{5}$ )

⇒ 2x² + 3$\sqrt{5}$x + 5 =  ( x + $\sqrt{5}$ ) ( 2x + $\sqrt{5}$ )