The sum of two numbers is 8, and their product is 80.

a) Let x represent one of the numbers, and write an expression for the other number in terms of x. Use the expressions to write an equation that models the situation given above.

b) Use the Quadratic Formula to solve the equation. Write the solution in terms of i.

Question

Mathematics

Greene

27 January, 07:19

The sum of two numbers is 8, and their product is 80.

a) Let x represent one of the numbers, and write an expression for the other number in terms of x. Use the expressions to write an equation that models the situation given above.

b) Use the Quadratic Formula to solve the equation. Write the solution in terms of i.

+3

Answers (1)

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Giggles · Answer 1

From their sum, the numbers are ' x ' and ' 8 - x '.

From their product, x (8 - x) = 80.

When you massage and manipulate this equation into the standard

quadratic form, you have

x² - 8x + 80 = 0.

Applying the quadratic formula to tease out the solutions of this equation,

we find that they are

x = 4 + 64 i

and

x = 4 - 64 i