Question

8x^2-9x-2=7x^2-4x step by step​

Answer 1

Answer:
`\bold{x=(5\pm √(33))/(2)}`

Explanation:

Move everything to one side so the equation is equal to zero. Then use the quadratic equation to find the solutions:

8x² - 9x - 2 = 7x² - 4x

-7x² + 4x -7x² + 4x

x² - 5x - 2 = 0 ⇒ a = 1, b = -5, c = -2

`x=(-b\pm √(b^2-4ac))/(2)\\\\\\x=(-(-5)\pm √((-5)^2-4(1)(-2)))/(2)\\\\\\x=(5\pm √(25+8))/(2)\\\\\\\large\boxed{x=(5\pm √(33))/(2)}`