How do you factor the expression $36y^2-84y-147$ ?

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Answer 1 · 2016-03-02T23:03:14

$color(blue)(y=3.49 " or " y= -1.16)$ to 2 decimal places

$(y-3.49)" and "(y+1.16)$

Treating this the same way you would as a quadratic $x$

Given: $" "x=36y^2-84y-147$

Where: $" "y=(-b+-sqrt(b^2-4ac))/(2a)$

$a=36$
$b=(-84)$
$c=(-146)$

Then: $" " y=(+84+-sqrt((-84)^2-4(36)(-146)))/(2(36))$

$y=(84+-sqrt(7056+21024))/72$

$color(blue)(y=3.49 " or " y= -1.16)$ to 2 decimal places

Tony B

How do you factor the expression 36y^2-84y-14736y^2-84y-147?