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
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]}
