Please help me with this problem:Use the quadratic formula.2x^2 − 9x + 8 = 0 Enter the solutions, in simplified radical form, in the boxes.x = or x =

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asked Apr 4, 2023 80.1k views

1 Answer

Ace Caserya · Answer 1 · 2023-04-10T08:47:56+0000

Given the Quadratic Equation:

You need to use the Quadratic Formula in order to solve it:

$x=(-b\pm√(b^2-4ac))/(2a)$

Notice that the equation is written in this form:

Then, in this case:

$\begin{gathered} a=2 \\ b=-9 \\ c=8 \end{gathered}$

Now you can substitute values into the formula and evaluate:

$\begin{gathered} x=(-(-9)\pm√((-9)^2-4(2)(8)))/((2)(2)) \\ \\ x=(9\pm√(17))/(4) \end{gathered}$

Notice that you get two values:

Hence, the answer is:

$x=(9+√(17))/(4)\text{ or }x=(9-√(17))/(4)$