Question

the quadratic equation if sum and product of its roots respectively 4

and 1 .​

Answer 1

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

Answer 2

thanks for the points........✌