SOLUTION: what is t squared = 9t

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Question 333720: what is t squared = 9t
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

t%5E2=9t Start with the given equation.


t%5E2-9t=0 Subtract 9t from both sides.


Notice that the quadratic t%5E2-9t is in the form of At%5E2%2BBt%2BC where A=1, B=-9, and C=0


Let's use the quadratic formula to solve for "t":


t+=+%28-B+%2B-+sqrt%28+B%5E2-4AC+%29%29%2F%282A%29 Start with the quadratic formula


t+=+%28-%28-9%29+%2B-+sqrt%28+%28-9%29%5E2-4%281%29%280%29+%29%29%2F%282%281%29%29 Plug in A=1, B=-9, and C=0


t+=+%289+%2B-+sqrt%28+%28-9%29%5E2-4%281%29%280%29+%29%29%2F%282%281%29%29 Negate -9 to get 9.


t+=+%289+%2B-+sqrt%28+81-4%281%29%280%29+%29%29%2F%282%281%29%29 Square -9 to get 81.


t+=+%289+%2B-+sqrt%28+81-0+%29%29%2F%282%281%29%29 Multiply 4%281%29%280%29 to get 0


t+=+%289+%2B-+sqrt%28+81+%29%29%2F%282%281%29%29 Subtract 0 from 81 to get 81


t+=+%289+%2B-+sqrt%28+81+%29%29%2F%282%29 Multiply 2 and 1 to get 2.


t+=+%289+%2B-+9%29%2F%282%29 Take the square root of 81 to get 9.


t+=+%289+%2B+9%29%2F%282%29 or t+=+%289+-+9%29%2F%282%29 Break up the expression.


t+=+%2818%29%2F%282%29 or t+=++%280%29%2F%282%29 Combine like terms.


t+=+9 or t+=+0 Simplify.


So the solutions are t+=+9 or t+=+0