Question

3x^2 – 8x + 5 = 5x^2

Answer 1

Explanation:

`3x^2 -8x +5 = 5x^2\\\\5x^2 - 3x^2 + 8x -5 =0\\\\2x^2 +8x -5 = 0\\\\`

a = 2, b = 8, c = -5

`x = (-b \pm √(b^2 -4ac) )/(2a)\\\\x = (-8 \pm √(8^2 - ( 4 * 2 * (-5))) )/(2 * 2)\\\\x = (-8 \pm √(64 +40) )/(4)\\\\x = (-8 + √(64 +40) )/(4) \ , \ x = (-8 - √(64 +40) )/(4)\\\\x = (-8 + √(104) )/(4) \ , \ x = (-8 - √(104) )/(4)\\\\x = (-8 + √(4 * 26) )/(4) \ , \ x = (-8 - √(4 * 26) )/(4)\\\\x = (-8 +2 √(26) )/(4) \ , \ x = (-8 - 2√(26) )/(4)\\\\`

`x = (-4 + √(26) )/(2) \ , \ x = (-4 - √(26) )/(2)`