Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients. x^2-3x-10

Asked by sameer270707 | 3rd Mar, 2021, 07:16: PM

Expert Answer:

begin mathsize 16px style straight x squared minus 3 straight x minus 10 equals 0
rightwards double arrow straight x squared minus 5 straight x space plus space 2 straight x space minus 10 space equals space 0
rightwards double arrow straight x left parenthesis straight x space minus space 5 right parenthesis plus 2 left parenthesis straight x space minus space 5 right parenthesis space equals space 0
rightwards double arrow open parentheses straight x minus 5 close parentheses open parentheses straight x space plus space 2 close parentheses space equals space 0
rightwards double arrow open parentheses straight x minus 5 close parentheses space equals space 0 space or space open parentheses straight x space plus space 2 close parentheses space equals space 0
rightwards double arrow straight x space equals space 5 space or space straight x space equals space minus 2
end style
α + β = 5 + (-2) = 3 = -b/a = -b/a = -(-3)/1 = 3
αβ = 5(-2) = -10 = c/a = -10/1 = -10

Answered by Yasmeen Khan | 4th Mar, 2021, 11:19: AM