Find the roots of the quadratic polynomials: a) f(x)=4x^2-3x-1. b) f(x)=x^2-2x-1

Ramsey

Ramsey

Answered question

2021-09-19

Find the roots of the quadratic polynomials:
a) f(x)=4x23x1
b) f(x)=x22x1

Answer & Explanation

Nola Robson

Nola Robson

Skilled2021-09-20Added 94 answers

We set them equal to 0 and solve for x
we first factor the ledt side
4x23x1=0
4x24x+x1=0
4x(x1)+1(x1)=0
(x1)(4x+1)=0
then we set rach factor equal to 0 and find x
x1=0
x=1
4x+1=0
4x=1
x=14
b) This expression can not be factored so we use the quadratic formula
x22x1=0
x=(2)±(2)24(1)(1)2(1)
x=2±82
x=2±222
x=1±2
Answer: x=1±2

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