SOLUTION: find two consecutive positive integers such that the square of the first is increased by 17 equals 4 times these second a.what is the smaller number b.what is the bigger number

Question 1008644: find two consecutive positive integers such that the square of the first is increased by 17 equals 4 times these second
a.what is the smaller number
b.what is the bigger number
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
S=smaller integer=L-1; L=larger integer=S+1
.

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

The discriminant -36 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.

In the field of imaginary numbers, the square root of -36 is + or - .

The solution is

Here's your graph:

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

The discriminant -68 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.

In the field of imaginary numbers, the square root of -68 is + or - .

The solution is

Here's your graph:

.
ANSWER: There are no real number solutions,
regardless if you consider the larger or smaller
number as first.

RELATED QUESTIONS
find two consecutive positive integers such that the square of the first decrease by 17... (answered by CubeyThePenguin)

Find two consecutive positive integers such that the square of the first is decreased by... (answered by CubeyThePenguin)

"find two consecutive positive integers such that the square of the first is decreased by (answered by Theo)

Find two consecutive positive integers such that the square of the first decreased by 25... (answered by nerdybill)

find two consecutive positive integers such that the square of the second added to 4... (answered by bucky)

Find two consecutive positive integers such that the square of the first increased by 2 (answered by ikleyn,Edwin McCravy)

Find two consecutive positive integers such that the square of the smaller... (answered by checkley79)

find three consecutive positive integers such that the square of the first increased by... (answered by TimothyLamb)

Find two consecutive negative odd integers such that 5 times the first plus the square of (answered by josgarithmetic,ewatrrr,MathTherapy,greenestamps)