What are the zeros of the function f(x) = x² - 3x - 10?

2 Answers
Apr 21, 2018

Solve the equation #color(red)(ul(bar(|x^2-3x-10=0|# to get the zeros.

#x^2-3x-10=0#

#=>x^2-5x+2x-10=0#

#=>x(x-5)+2(x-5)=0#

#=>(x+2)(x-5)=0#

Hence, the solution set is #color(red)({-2,5}#

The zeros of the function is #{-2,5}#

Hope it helps...
Thank you...

:-)

Apr 21, 2018

#x=-2" or "x=5#

Explanation:

#"to obtain the zeros let "f(x)=0#

#rArrx^2-3x-10=0larrcolor(blue)"in standard form"#

#"the factors of - 10 which sum to - 3 are - 5 and + 2"#

#rArr(x-5)(x+2)=0#

#"equate each of the factors to zero and solve for x"#

#x+2=0rArrx=-2#

#x-5=0rArrx=5#
graph{(y-x^2+3x+10)((x+2)^2+(y-0)^2-0.04)((x-5)^2+(y-0)^2-0.04)=0 [-10, 10, -5, 5]}