the quadratic equation if sum and product of its roots respectively 4
and 1 .
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Answer:
Step-by-step explanation:
MATHS
Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.
(i)
4
1
, −1 (ii)
2
,
3
1
(iii) 0,
5
(iv) 1,1 (v)
4
−1
,
4
1
(vi) 4,1
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VIDEO EXPLANATION
Solution To Question ID 465007
ANSWER
(i)
4
1
, -1
Using the quadratic equation formula,
x
2
−(Sum of root)x+(Product of root)=0
Substitute the value in the formula, we get
x
2
−
4
1
x−1=0
4x
2
−x−4=0
(ii)
2
,
3
1
Using the quadratic equation formula,
x
2
−(Sum of root)x+(Product of root)=0
Substitute the value in the formula, we get
x
2
−
2
x+
3
1
=0
Multiply by 3 to remove denominator,
3x
2
−3
2
x+1=0