Question

the difference between square of two numbers is 120 the square of smaller number is twice then the greater number find the numbers​

Answer 1

Step-by-step explanation:

let greater no. x

let smaller no. y

ATQ

x²-y² = 120 ----1

now.it is given that y² = 2x

so putting value of y² in eq 1

x² - 2x = 120

x² -2x -120 =0

x² -12x+10x -120 =0

x(x-12)+ 10(x-12) = 0

(x-12)(x+10) = 0

x-12 =0

x = 12 or -10

but we cant take -10 as greater no.

so x = 12

now .. y² = 2x

y² = 2*12 = 24

y² = 2√6²

y = 2√6

larger no. 12

smaller = 2√6

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