What are the zeros of the function #y=2x^2-3x-20#, and why?

1 Answer
Martin C.
Apr 4, 2018

#x_1=4 or x_2=5/2=2.5#

Explanation:

The zeros, or also know as interceptions of the x-axis, can be determinated by #y=0#

#0=2x^2-3x-20|:2#
#0=x^2-3/2x-10#

#0=(x-3/4)^2-9/16-10#
#0=(x-3/4)^2-169/16|+169/16|sqrt()#
#+-13/4=x-3/4|+3/4#
#x=3/4+-13/4#
#x_1=4 or x_2=5/2=2.5#

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