1 Answer

Mechnicov · Answer 1 · 2023-10-22T09:13:44+0000

Explanation:

Let x represent the first number, and y be the second number.

The first statement can be modeled as

${x}^(2) - {y}^(2) = 15$

The second statement can modeled as

$2 {x}^(2) - {y}^(2) = 30$

If we multiply 2 both sides of the first equation,

$2( {x}^(2) - {y}^(2) ) = 15 * 2$

$2 {x}^(2) - 2 {y}^(2) = 30$

Subsitue this for 30 in second equation,

$2 {x}^(2) - {y}^(2) = 2 {x}^(2) - {2y}^(2)$

${y}^(2) = 0$

y = 0

Subsitue this for y in either equation,

${x}^(2) = 15$ So our answer is

plus or minus sqr root of 15, 0).

(± √(15) ,0)

x = √(15)

or

x = - √(15)

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