SOLUTION: I can't get my equation in the right order, the 0 is confusing me: 4x2-9=0 the first part is four x squared.==> 4x^2-9=0 equation rewritten as 4x^2-9=0

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Question 248905: I can't get my equation in the right order, the 0 is confusing me:
4x2-9=0 the first part is four x squared.==> 4x^2-9=0
equation rewritten as 4x^2-9=0

Answer by chosenpoint(26) About Me  (Show Source):
You can put this solution on YOUR website!
We can use the ^ symbol to indicate exponents, but in true mathematical format, the equation should look like this:

4x%5E2-9=0

4x%5E2-9%2B9=0%2B9 adding 9 to both sides

4x%5E2=9 simplifying

4x%5E2%2F4=9%2F4 dividing both sides by 4

x%5E2=9%2F4 simplifying

sqrt%28x%5E2%29=sqrt%289%2F4%29 taking square root of both sides

x=%2Bsqrt%289%2F4%29 or x=-sqrt%289%2F4%29 simplifying

x=%2B3%2F2 or x=-3%2F2 further simplifying and final answer

If using the quadratic formula, it would look like this:

ax%5E2%2Bbx%2Bc=0

4x%5E2%2B0x-9=0 converted the original given equation to standard form, notice there is no x term, so we have used 0x as a placeholder

x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29 where a=4, b=0, and c=-9

and from there, just substitute the numbers in for a, b, and c

x+=+%28-0+%2B-+sqrt%28+0%5E2-4%2A4%2A%28-9%29+%29%29%2F%282%2A4%29

x=+0+%2B-+sqrt%28144%29%2F8%29

x=+0+%2B-+12%2F8%29

x=%2B3%2F2 or x=-3%2F2 final answer verified