Question

What are 2 numbers when multiplied get 4 and when added get 10

Answer 1

Let x and y will be your two numbers.

x + y = 4
xy = 10

x + y = 4
y = 4-x

xy = 10
x(4-x) = 10
4x - x² = 10

- x² + 4x - 10 = 0

(a + √a² - 4b)/2

(4 + √4² - 4(-10))/2
(4 + √16 + 40)/2
(4 + √56)/2

(4 + 2√14)/2
2(2 + √14)/2
2 + √14

(4 - 2√14)/2
2(2 - √14)/2
2 - √14