Lucas invested money in two accounts: one paying 3% interest and the other paying 5% interest. he invested $100 more in the 5% account than the 3% account. after one year , his total interest from the two accounts was 53$ how much was invested at each rate ?

answer: the answer is 40.82

step-by-step explanation: 3.14 x 13(or half of 26) to the power of 2

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15