Question

Construct a system of nonlinear equations to describe the given behavior than solve for the reque Two positive numbers add up to 100. One number is twice the square of the other number what the numbe r was commaeparated list cetoamathematical equation by lett Recall how to translate the terms the square of a number and twice a number te mathematical substitution or addition, as to use when solving this system of nonlinear equations Additional Materials

Answer 1

So, the positive numbers are 288 and 12 , satisfying given conditions.

AS tuo positive numbeas add up to 3008 one number is twice the square of other. = x+y=300 f x=24² . We have non-linear system, as follows: set y=3008 st 2-242-0 S AS , x+y=800 a 300-4 ir x-2y²-0 becomes, 300-4-2y =0 se 22 y + 2y74-30050 t - - - 1 t 1-4X2X(-300) F = Y = -1 + 1 + 2400 = 1 +49 4 - y = -1+49 ( 9 = -1-49 =) Y = 48 -12 f 9 = - 50 -4215 but y is positive => 19 =12 x= 300-4-800-12-288 x=288 ,4 =12