2! Find the zeroes of the quardratic
puolynomial and verify the relantionship between
zeroes and coefficients 4x2-4x-3
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1
zahidashaikh178
zahidashaikh178
13.04.2019
Math
Secondary School
+5 pts
Answered
Find the zeros of the polynomial and verify the relationship between the zeros and coefficients 25x square + 5x
1
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Answer:
Zeroes are 0 and \frac{-1}{5}
Step-by-step explanation:
Given: Quadratic Polynomial , 25x² + 5x
To find: Zeroes of Polynomial and Verify the relation between zeroes and coefficient
To find zeroes we equate polynomial with 0
⇒ 25x² + 5x = 0
5x ( 5x + 1 ) = 0
5x = 0 and 5x + 1 = 0
x = 0 and x = \frac{-1}{5}
Therefore, Zeroes are 0 and \frac{-1}{5}
let, α = 0 and β = \frac{-1}{5}
first relation is sum of zeroes/roots = \frac{-coefficient\:of\:x}{coefficient\:of\:x^2}
LHS = α + β = 0+\frac{-1}{5}=\frac{-1}{5}
RHS = [tex\frac{-b}{a}=\frac{-5}{25}=\frac{-1}{5}[/tex]
LHS = RHS
Hence Verified
Second Relation is Product of zeroes/roots = \frac{constant\:term}{coefficient\:of\:x^2}
LHS = αβ = 0\times]frac{-1}{5}=0
RHS = [tex\frac{c}{a}=\frac{0}{25}=0[/tex]
LHS = RHS