Question

8x=3x²-1 plz help me show your work

Answer 1

The answer is
`x=(4(+-)√(19) )/(3)` in exact form or
`x=2.7863`,
`x=-0.1196` in decimal form.

Explanation:

To solve this equation, start by moving all expression to the left side of the equation, which will include subtracting
`3x^2` and adding 1 to both sides of the equation. The equation will look like
`8x-3x^2+1=0`.

Then, use the quadratic formula to find the solutions to the equation. The quadratic formula looks like
`(-b(+-)√(b^2-4ac) )/(2a)`.

For this problem, the quadratic variables are as follows:

`a=-3\\b=8\\c=1`

The next step is to substitute the values
`a=-3`,
`b=8`, and
`c=1` into the quadratic formula and solve for x. The quadratic formula will look like
`(-8(+-)√(8^2-4(-3)(1)) )/(2*-3)`. To simplify the equation, start by simplifying the numerator, which will look like
`x=(-8(+-)2√(19) )/(2*-3)`. Then, multiply 2 by -3 and simplify the equation, which will look like
`x=(4(+-)√(19) )/(3)`. The final answer is
`x=(4(+-)√(19) )/(3)` in exact form. In decimal form, the final answer is
`x=2.7863`,
`x=-0.1196`.

Answer 2

Explanation:

3 times 8= 24 • 24 = 576 - 1 =575

or

3•8=24•2=48-1=47

not sure