Answer:
Step-by-step explanation:
Answers:
k = 13The smallest zero or root is x = -10
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Work Shown:
note: you can write "x^2" to mean "x squared"
f(x) = x^2+3x-10
f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5
f(x+5) = (x^2+10x+25)+3(x+5)-10
f(x+5) = x^2+10x+25+3x+15-10
f(x+5) = x^2+13x+30
Compare this with x^2+kx+30 and we see that k = 13
Factor and solve the equation below
x^2+13x+30 = 0
(x+10)(x+3) = 0
x+10 = 0 or x+3 = 0
x = -10 or x = -3
The smallest zero is x = -10 as its the left-most value on a number line.
Answer:
11,13
Step-by-step explanation:
let the one of the number is x,then other of its consecutive odd number will be x+2
now their product will be
x(x+2)=143
i.e, x^2+2x=143
i.e, x^2+2x-143=0
i.e, x^2+13x-11x-143=0
i.e,x(x+13)-11(x+13)=0
i.e, (x+13)(x-11)=0
either x+13 =0,
or, x-11=0
i.e, x=11
it's positive number so x= -13 will be neglected
so the number will be 11
other one will be 11+2=13
✌️:)
