Question

The sum of the square of a number and 34

Answer 1

Written as an expression, the statement 'the sum of the square of a number and 34' would look like this:

$n^{2} +34$

Hope that helped! =)

Answer 2

the complete question is

The sum of the square of 2 number is 34. The first number is one less than twice the 2nd number. Find the number

Let

2x-1-------> the first number

x------->the second number

we know that

$(2x-1)^{2} +x^{2} =34\\ 4x^{2} -4x+1+x^{2} =34\\ 5x^{2} -4x-33=0\\ 5x^{2} -15x+11x-33=0\\ 5x*(x-3)+11*(x-3)=0\\ (5x+11)*(x-3)=0$

therefore

$x=3\\ 2x-1=5$

the answer is

the numbers are

$3,5$