3 years ago

How can the difference of squares, 4x^2 - 25, be written in factored form?

Mathematics

1 answer:

ASHA 777 [7]3 years ago

3 0

3. Binomial Formula: ( a + b ) ( a - b ) = a^2 - ab + ba - b^2 = a^2 - b^2
4x^2 - 25 = (2x - 5)(2x + 5)

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Find three positive consecutive integers such that the product of the second integer and the third integer is 72

Anastaziya [24]

Let
x---------> first positive integer
x+1------> second positive integer
x+2-----> third positive integer

we know that
(x+1)*(x+2)=72-------> x² +2x+x+2=72 -------> x² +3x-70=0

using a graph tool-------> <span>I solve the quadratic equation
</span>see the attached figure

the roots are
x1=-10
x2=7

the answer is
first positive integer is x=7
second positive integer is x+1=8
third positive integer is x+2=9