Can i have help solving this trinomial equation? 4x^2+17x+15=9?

1 Answer

#color(red)(x=(-17+- sqrt(193)) / 8#

Explanation:

#4x^2+17x+15=9#
#4x^2+17x+6 = 0#

This cannot be factored normally. Use quadratic formula:

#(-b+-\sqrt(b^2-4ac))/(2a)#

where #a = 4#, #b = 17#, and #c=6#.

#x=(-(17)+- sqrt((17)^2-4(4)(6)))/(2(4))#

#color(red)(x = (-17+- sqrt(193))/ (8)#

You can use a calculator if you want decimals.