Math, asked by saralsahani79, 4 months ago

If the sum and product of the zeros of the polynomial ax2

– 5x + c is 10 find a and

c.​

Answers

Answered by GargiRana
2

Answer:

Given : ax² – 5x + c

Sum of roots = Product of roots = 10

We need to find that values of a and c

Values of coefficients as per given quadratic polynomial : a = a, b = -5 , c = c

Sum of roots = -b/a = -(-5)/a = 5/a

Product of roots = c/a

So 5/a = c/a

Hence c=5

Given that Sum of roots = Product of roots = 10

-(-5)/a = 10

5/a = 10

5 =10 a

a = 5/10 = 1/2

Hence, a = 1/2 , c = 5

Step-by-step explanation:

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Answered by noahlisboa67
0

Answer:

sum of the zeros = -b/a

10 = 5/a

5/10 = a

so , a = 1/2

product of the zeros = c/a

10 = c/a

c=10a

since a =1/2 we get

c = 10 × 1/2

c = 5

therefore the values of a and c are 1/2 and 5 respectively.

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