MATH SOLVE

3 months ago

Q:
# The product of two numbers is 713. The first number is 9 more than the second number. Which equation can be used tofind x, the greater number?Ox(x - 9) = 713O x(x + 9) = 713O x - 9 = 713O x2 + 9 = 713

Accepted Solution

A:

Answer: x(x - 9) = 713Step-by-step explanation:Let the first number be x and the second number be y.From the first statement;xy = 713 Β ............. equation 1From the second statement , the first number is 9 more than the second number , this means that x is greater than y by 9 , in equation form , we havex - y = 9 ............ equation 2Combining the two equations , we have xy = 713 ........... equation 1x - y = 9 .......... equation 2From equation 2 , make y the subject of the formula , that isy = x - 9 ............ equation 3substitute equation 3 into equation 1 , we have x ( x - 9 ) = 713which will result in a quadratic equation[tex]x^{2}[/tex] - 9x = 713[tex]x^{2}[/tex] - 9x - 713 = 0