Question

How to turn this equation: y= -1.02(x-3)^2+9.25 into factored form

Answer 1

Answer:

$y=(102x-306-5\sqrt{3774})(102x-306+5\sqrt{3774})$

Step-by-step explanation:

You first equate it to zero to get:

$-1.02(x-3)^2+9.25=0$

Then solve using square root method

$-1.02(x-3)^2=-9.25$

$(x-3)^2=\frac{-9.25}{-1.02}$

$(x-3)^2=\frac{925}{102}$

$x=3\pm\sqrt{\frac{925}{102}}$

Or

$x=3\pm{\frac{5\sqrt{3774}}{102}}$

$x={\frac{306\pm5\sqrt{3774}}{102}}$

Now work it backwards

$102x-(306\pm5\sqrt{3774})=0$

$(102x-306-5\sqrt{3774})(102x-306+5\sqrt{3774})=0$

Hence the factored form is:

$y=(102x-306-5\sqrt{3774})(102x-306+5\sqrt{3774})$