Question

the sum of a number and its square is 42. which equation can be used to find the two numbers for which this is true? x2 x

Answer 1

The equation which can be used to find the two numbers for the given statement is x² + x = 42.

• A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.
• Let us declare the unknown number as 'x'.
• The square of the number is x².
• The sum of the number and its square is x + x².
• Also, it is given that the sum is 42.
• x + x² = 42
• According to the commutative property, when two numbers are added together or multiplied, the order in which they appear does not affect the result's total or product.
• Using the commutative property of addition,
• x² + x = 42 is the required solution.

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