Quadratic formula

spaul

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Aug 25, 2018
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I have been given this equation to solve (not using the completing the square or the quadratic formula)

3x^2=5
 
x^2 is unknown. We know that 3 times it is 5. So what do you multiply 3 by to get 5? Whatever answer you get is what x^2 equals.
 
so what method should we use ?
Written in standard form it is 3x2+0x5=0\displaystyle 3x^2+0\cdot x-5=0,
So a=3, b=0 & c=5\displaystyle a=3,~b=0~\&~c=-5.
Thus the roots are: b±b24ac2a\displaystyle \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}
Now you finish.
 
3WHAT=5\displaystyle 3 \cdot WHAT = 5
Whatever that answer is, set x2 to that number.
 
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