Question

Using the quadratic formula to solve 5x = 6x²-3, what are the values of x?

Answer 1

`\boxed{\sf{x = (5 \pm √(97) )/(12) }}`

Explanation:

`\sf{5x = 6 {x}^(2) - 3 }`

`\sf{0 = 6 {x}^(2) - 3 - 5x }`

`\sf{0 = 6 {x}^(2) - 5x - 3 }`

• a = 6
• b = - 5
• c = - 3

`\sf{x = \frac{ - b \pm \sqrt{ {b}^(2) - 4ac} }{2a} }`

`\sf{x = \frac{ - ( - 5) \pm \sqrt{ { - 5}^(2) - 4(6)( - 3)} }{2(6)} }`

`\sf{x = (5 \pm √( 25 + 72) )/(12) }`

`\sf{x = (5 \pm √(97) )/(12) }`