9/16x^2+7.5x=−25?

2 Answers
Mar 8, 2018

Answer:

By moving the -25 to the left-hand side of the equation, one can factor the formula to get x, which is #-6 2/3#

Explanation:

#9/16x^2+7.5x+25=0#

Based on the fact that 9/16 and 25 have clean square roots (3/4 and 5, respectively) it occurred to me that the equation factored as such:

#0 =(3/4x+5)^2 = (3/4x)^2+2*5*(3/4x)+5^2 #
#0 = 9/16x^2+30/4x+25#
#0 = 9/16x^2+7.5x+25#

Using the factored version, #0 = (3/4x+5)^2#, we can now solve for x

#sqrt(0) = sqrt((3/4x+5)^2)#

#0 = 3/4x+5#

#-5 = 3/4x#

#-20/3 = x = -6 2/3#

Answer:

-20#-:#3

Explanation:

kevin's matyh
Simply solved the equation by the formula