Question

the difference between two numbers is 3.if the square of smaller number is equal to four times the larger number, find the two numbers.

Answer 1

hope this helps you mate!!!

Answer 2

Answer:

I Hope it helps you ........

Step-by-step explanation:

x = larger number

y = smaller number

x - y = 3 {difference between two numbers is 3

y� = 4x {square of smaller is equal to 4 times the larger

y = x - 3 {added y to each side in top original equation}

(x - 3)� = 4x {substituted (x - 3), in for y, into bottom original equation}

x� - 6x + 9 = 4x {squared the binomial by multiplying by itself}

x� - 10x + 9 = 0 {subtracted 4x from each side}

(x - 9)(x - 1) = 0 {factored into two binomials}

x - 9 = 0 or x - 1 = 0 {set each factor equal to 0}

x = 9 or x = 1 {solved each equation for x}

y = x - 3

y = 9 - 3 or y = 1 - 3 {substituted 9 and 1 for x into y = x - 3}

y = 6 or y = -2

9 and 6

or

1 and -2 are the sets of numbers

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