Two of the steps in the derivation of the quadratic formula are shown below.

Mathematics

2 answers:

Helen [10]4 years ago

7 0

Answer:

taking the square root of both sides of the equation

Step-by-step explanation:

I didnt do it sorry

icang [17]4 years ago

7 0

Answer:

the right answer is: taking the square root of both sides of the equation

Step-by-step explanation:

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The product of two positive integers is 176. One number is 5 more than the other. Find the smaller number.

svlad2 [7]

Hello from MrBillDoesMath!

Answer:

Discussion:

Let "n" be the smaller number. Then

n * (n+5) = 176.

My first reaction to this problem was to factor 176 in my head. That's 176 = 16 * 11 and 16 is 5 more than 11. So that's the solution!.... Now let's solve it using the brute force approach:

n(n+5) = 176 =>

n^2 + 5n - 176 = 0 => use the quadratic formula

n = ( -5 +\- sqrt( 5^2 - 4(1)(-176)) ) /2

= ( -5 +\- sqrt( 25 + 704) )/ 2

= ( -5 +\- sqrt (729) ) /2 => as sqrt(729) = 27

= (-5 +\- 27) / 2 =>

= (-5 + 27)/2 or ( -5 -27)/2 =>

= 22/2 or -32/2 =>

= 11 or -16

But -16 is not allowed as the question wants a positive value.

Thank you,

MrB

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