How do you solve # 25x²=20x+6# using the quadratic formula?

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How do you solve # 25x²=20x+6# using the quadratic formula?

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Answer 1 · 2016-04-29T17:21:43

#x =(2+sqrt10)/5 and x =(2-sqrt10)/5#

Explanation:

#25x^2=20x+6#
#=>25x^2-20x-6=0#
#=>(5x)^2-2.5x.2+2^2-4-6=0#
#=>(5x)^2-2.5x.2+2^2=4+6#
#=>(5x-2)^2=10#
#=>(5x-2)=+-sqrt10#
#:. x =(2+sqrt10)/5 and x =(2-sqrt10)/5#

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How do you solve # 25x²=20x+6# using the quadratic formula?

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