Find four consecutive positive integers such that the product of the first and the fourth is four less than twice the first multiplied by the fourth

unknown values: x,x+1,x+2,x+3

equation: x*(x+3)+4=2(x*(x+3))

equation: x>0

answer: 1;2;3;4

3 times the sum of twice a number and 6 is 4 times 2 less than the number. find the number.

unknown values: x

equation: 3*(2*x+6)=4(x-2)

answer: -13 | -26/5 | -5.2

Two consecutive odd integers have a product of 99. Find all sets of integers that satisfy this description.

unknown values: 2*k+1,2*k+3

equation: (2*k+1)(2*k+3)=99

answer: {9; 11} or {-11; -9}

The product of two consecutive odd integers is 63. Find the numbers.

unknown values: 2*k+1, 2*k+3

equation: (2*k+1)*(2*k+3)=63

answer: 7; 9 or -9; -7

the difference of 3 times the larger consecutive integer and the smaller consecutive integer is 7

unknown values: x,x+1

equation: 3*(x+1)-x=7

answer: 2; 3

The product of two consecutive positive odd integers is 38 less than the square of the greater integer. Find the integers.

unknown values: 2*k+1,2*k+3

equation: (2*k+1)*(2*k+3)+38=(2*k+3)(2*k+3)

answer: 17;19

Two negative integers have a sum of -12 and a product of 11. What are the integers?

unknown values: x,y

equation: x

<0 equation: y<0 equation: x+y=-12 equation: x*y=11 answer: {-1; -11} | -11; -1 or -1; -11 what are 2 consecutive even integers whose product plus two is 290 unknown values: 2*k, 2*k+2 equation: 2*k*(2*k+2)+2=290 answer: 16; 18 or -18;-16 if three times the smaller of two consecutive even integers is added to two times the larger, the result is 64. what is the smaller of the two integers? unknown values: 2*k equation: 3*(2*k)+2*(2*k+2)=64 answer: 12 Find three consecutive even integers such that four times the middle integer is equal to the sum of the first and third integers unknown values: 2*k-2,2*k,2*k+2 equation: 4*(2*k)=(2*k-2)+(2*k+2) answer: -2; 0; 2