Question

if roots of x^2+ px + 40 =0 are in ratio 2:5 then find value of p

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Answer 1

Answer is hear ☝️ with step by step explanation

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Answer 2

Answer:

roots are (4, 10) or ( -4, -10)

Step-by-step explanation:

Let the roots of the equation be 2y and 5y

we know

sum of the roots of a equation = -b/a

product of the roots of the equation = c/a

therefore 2y + 5y = -p

7y = -p

p = -7y

and (2y)(5y) = 40

10y² = 40

y² = 4

y = 2 or -2

if y = 2

roots are 4 and 10

if y = -2

roots are -4 and -10