Question

find the two numbers whose sum is 48 and product is 432

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Answer 1

Answer:

Step-by-step explanation:

This article is about four-sided mathematical shapes. For other uses, see Quadrilateral (disambiguation). Quadrilateral Some types of quadrilaterals Edges and vertices 4 Schläfli symbol {4} (for square) Area various methods; see below Internal angle (degrees) 90° (for square and rectangle) In Euclidean plane geometry, a quadrilateral is a polygon with four edges (sides) and four vertices (corners). Other names for quadrilateral include quadrangle (in analogy to triangle), tetragon (in analogy to pentagon,

Answer 2

Answer:

12,36

Step-by-step explanation:

Let the two numbers be x and 48 - x so that their sum is 48 It is given that the product of the two numbers us 432

Hence we have x(48 - x) = 432

$\green{48x - {x}^{2} = 432}$

$\green{48x - {x}^{2} - 432 = 0}$

$\green{{x}^{2} - 36x - 12x + 432 = 0}$

$\green{x(x - 36) - 12(x - 36) = 0}$

$\green{(x - 36)(x - 12) = 0}$

$\green{(x - 36 = 0)} \pink{(x - 12 = 0)}$

$\red{ (x = 36)} \: \blue{or} \red{(x = 12)}$

$\green{if \: one \: number \: = 12. \: then \: 48 - 12 = 36.} \red{ \: if \: one \: number = 36. \: then \: 48 - 36 = 12.}$