Question

2×(x²+1)=5x solve quadratic equation

Answer 1

2x²+2=5x
2x²-5x+2=0
2x²-4x-x+2=0
2x(x-2)-1(x-2)
(2x-1)(x-2)

Answer 2

Hello!

$\bf{2 ( x^{2} + 1 ) = 5x}$

⇒ 2x² + 2 = 5x

⇒ 2x² - 5x + 2 = 0

$\underline{\sf Now}$ :

⇒ 2x² - 4x - x + 2 = 0

⇒ 2x ( x - 2 ) - 1 ( x - 2 ) = 0

⇒ $\boxed{\sf ( x - 2 ) ( 2x - 1 ) = \sf 0}$

Hence,
The required solⁿ is $\bf{x = 2}$ Or $\bf{x = \dfrac{\sf 1}{\sf 2}}$

Cheers!