The sum of the square of a positive number and the square of 3 more than the number is 149. What is the number? The positive number is.

Q: The product of two numbers is 4 and the sum of their squares is 8.Find the numbers.

A: Assumption of the numbers and their solution helps to find the required numbers. Addition of the…

Q: The product of the squares of a number and two more than a number is 225. Find all possible values…

A: Let the number be n According to the question, n2(n+2)2=225 ⇒n(n+2)=±225⇒n(n+2)=±15 Case 1 : When…

Q: The sum of a positive number and it's square is 72. What is the number?

A: Let the positive number is x. Then according to our problem, x2 + x = 72.

Q: The sum of two positive numbers is 4 and the sum of their squares is 28. What are the two numbers?

A: Let the two numbers are x and y.Given that their sum =4 So, x+y=4

Q: The sum of the opposite of a number and the opposite of seven is negative three. What is the number?

A: The explanation of answer as follows

Q: The square of a number exceeds twice the number, itself, by 60. What is the number?

A: The square of a number exceeds twice the number itself by 60.

Q: the sum of two numbers is 7 and the difference of their squares is 21. Find the numbers.

A: Let the first number be ‘x’ and second number be ‘y’.

Q: Two integers differ by 4. If the sum of their squares is 170, determine the two integers.

A: The detailed solution is as follows below:

Q: The sum of two numbers is 8. The product of the first number and the square of the second number is…

A:

Q: The product of one more than a number and twice the reciprocal of the number is 12/5, find the…

A: Let the number be n. By given condition, we have

Q: The sum of the square of a positive number and the square of 5 more than the number is 157. What is…

A: Solving the problem to find only the positive value.

Q: The sum of two numbers is 63. The first number is of the second number. What are the numbers? What…

A: Let x and y be the smaller and larger number respectively. Since their sum is 63, therefore x+y=63…

Q: The sum of the digits of a two-digit number is 16. If the digits were reversed; the resulting number…

A: Let the tens digit be x and units digit be y Then x+y = 16              (1) The original number is…

Q: The sum of the squares of two consecutive positive odd integers is 74. What is the value of the…

A:

Q: The sum of squares of two numbers is 100. the sum of the numbers is 2. find the numbers?

A:

Q: The product of two consecutive odd integers is 22 less than the square of the greater integer. Find…

A: Given information: The product of two consecutive odd integers is 22 less than the square of the…

Q: The sum of two numbers is 17 and the sum of their squares is 157. Find the numbers.

A:

Q: The sum of the squares of two numbers is 24. The difference of the squares of the number is 8 . find…

A:

Q: The length of a rectangle is three times yards than twice the width. The peimeter is 96 yards. What…

A: Given query is to find the dimensions of the rectangle.

Q: The sum of squares of two numbers is 32. The difference of the squares of the number is 18. Find the…

A:

Q: The difference between the squares of two numbers is 3. Twice the square of the first number…

A: Given that The difference between the squares of two numbers is 3. Twice the square of the first…

Q: Four times the square of a number decreased by 6 is equal to seven times the number increased by 9.…

A:

Q: The sum of a positive number and twice its square is 11.88. What is the number.

A: Given, let us take a positive number be

Q: The sum of the squares of two negative numbers is 106 and the difference of the squares of the…

A: To find the both negative numbers.

Q: The sum of the squares of two consecutive natural numbers is 313 . Find the numbers

A:

Q: The difference between the squares of two numbers is 5. Twice the square of the second number…

A: It is given that, The difference between the squares of two numbers is 5. Twice the square of the…

Q: The sum of 2 numbers is 14. If the difference of their squares is 56. What are the numbers?

A: Given,  Sum of 2 numbers = 14 difference of 2 numbers = 56 let x, y be 2 numbers

Q: HOw do I solve?   The perimeter of a rectangle is five more than three times the length. If the…

A: The perimeter of a rectangle is five more than three times the length. Also, the difference between…

Q: The sum of the two-digit number is 9. The tens digit is three less than three times the units digit.…

A: Lets the ten's digit be x ,and let unit's digit be y Then the number formed is 10x+y As the sum of…

Q: The square of a number minus seven times a number equals negative six. The equation is The solutions…

A: We solve the equation using factor method

Q: The sum of 2 integers is 7. The greater integers is 58 more than twice the lesser integers. what are…

A:

Q: The difference of the square of a number and 24 is equal to 5 times that number. Finc the negative…

A: let us consider the number is x then according to given condition the difference of x2 and 25 will…

Q: The square root of the sum of two consecutive integers is 3. What is the larger number?

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: The difference of the square of a number and 12 is equal to 4 times that number. Find the positive…

A: Suppose that number is x . Form the equation of one variable according to given in the question.

Q: Thrice the sum of two numbers is 30 and the sum of their squares is 52. Find the product of the…

A:

Q: The square of a number is equal to six tim number plus 18. What is the number?

A: ` 1.The square of a number is equal to six times the number plus 18.

Q: The sum of the squares of two negative numbers is 145 and the difference of the squares of the…

A: Given,The sum of the squares of two negative numbers is 145 and the difference of the squares of the…

Q: The sum of the squares of two consecutive even numbers is 340 ,Find the numbers

A:

Q: The sum of the square of a number and 12 times the number is −27. Whatis the smaller possible value…

A: Let the number is = x So, The sum of the square of a number and 12 times the number is −27 is…

Q: If the square of the number is added to 3 times the number, the number is 108. Find the number.

A: We have to find the number if square of the number is added to 3 times the number then number is…

Q: The sum of two nonnegative numbers is 20. Find the numbers if one number plus the square root of the…

A: according to given problem x+y=20x+y=b

Q: The sum of two numbers is 14.If the product of these numbers is 48,what are the numbers?

A:

Q: The sum of the square of a positive number and the square of 4 more than the number is 58. What is…

A:

Q: The sum of the squares of two negative numbers is 97 and the difference of their squares is 65. Find…

A: Let the two numbers be x and y (both negative) respectively.Then we have

Q: The square of a negative number is 18 more than 3 times the negative number. Find the number.

A:

Q: The product of two consecutive integers is 19 more than their sum. Find the integers

A: Let x be an integer and x+1 be its consecutive integer.It is given that their product is 19 more…

Q: The square of a number equals nine times that number. Find the number.

A: Assume number be x

Q: The width of a rectangle is 3 less than twice its length. If the area of the rectangle is 157 cm…

A:

Q: The sum of the squares of three consecutive natural numbers is 149 Find the numbers

A: