Obtain all -2x^ 2 -10x-5 sqrt 5 sqrt 5 3 -5 2 + 1 5 + 3x^ 4 +6x^ 3 4 sqrt 3
Answers
Answered by
1
Step-by-step explanation:
Two zeroes are
3
5
and −
3
5
So we can write it as, x =
3
5
and x = −
3
5
we get x−
3
5
=0 and x+
3
5
=0
Multiply both the factors we get,
x
2
−
3
5
=0
Multiply by 3 we get
3x
2
−5=0 is the factor of 3x
4
+6x
3
−2x
2
−10x−5
Now divide, 3x
4
+6x
3
−2x
2
−10x−5 by 3x
2
−5=0 we get,
Quotient is x
2
+2x+1=0
Compare the equation with quadratic formula,
x
2
−(Sum of root)x+(Product of root)=0
⇒Sum of root =2
⇒Product of the root =1
So, we get
⇒x
2
+x+x+1=0
⇒x(x+1)+1(x+1)=0
⇒x+1=0,x+1=0
⇒x=−1,x=−1
So, our zeroes are −1,−1,
3
5
and −
3
5
Similar questions