Question

If 8x- 2x²=5, then the value of x by using formula is Option:-1)8±2root6/4 2) 8±2root6/4

Answer 1

Answer:

$x=\dfrac{8\pm2\sqrt{6}}{4}$

Step-by-step explanation:

Formula -

$x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

In the question -

=> 8x - 2x² = 5

=> 2x² - 8x + 5 = 0

• a = 2
• b = - 8
• c = 5

So,

$x=\dfrac{-(-8)\pm\sqrt{(-8)^2-4(2)(5)}}{2(2)}$

$x=\dfrac{8\pm\sqrt{64-40}}{4}$

$x=\dfrac{8\pm\sqrt{24}}{4}$

√24 = √(4*6) = 2√6

So,

$x=\dfrac{8\pm2\sqrt{6}}{4}$