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Question 1143059: 12b²-29b+15
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! expression is 12b^2 - 29b + 15
set the expression equal to 0 to get the equation of 12b^2 - 29b + 15 = 0
replace b with x to get the equation of 12x^2 - 29x + 15 = 0.
use the quadratic formula to solve for x in this quadratic equation that is now in standard form of ax^2 + bx + c = 0.
a = 12
b = -29
c = 15
quadratic formula is x = (-b + sqrt(b^2-4ac)/(2a) or x = (-b - sqrt(b^2-4ac)/(2a)
first formula becomes x = (29 + 11) / 24 = 5/3.
second formula becomes x = (29 - 11) / 24 = 3/4.
those are the roots of the given equation.
replace x with b and you get b = 5/3 or b = 3/4.
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