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the product of two consecutive integers is 90. find the integers

Sagot :

Answer:

9x10=90

The integers are 9 and 10.

Step-by-step explanation:

You did specify consecutive numbers so there you go.

Representations:

Let:

x - the first number

x + 1 - the second number

Step-by-step solving: Equations Transformable into Quadratic Equations

x(x + 1) = 90

x² + x = 90

x² + x - 90 = 0

(x - 9)(x + 10) = 0

x - 9 = 0

x = 9

x + 10 = 0

x = -10

The second root may be unacceptable at some point because of its sign, so we'll use the first root to substitute the original equation.

Check:

x(x + 1) = 90

9(9 + 1) = 90

9(10) = 90

90 = 90

True.