If twelve is added to six times a number, the result is twenty-eight less than the square of the number. Find all such numbers.

chillywilly12a

chillywilly12a

Answered question

2021-02-22

If twelve is added to six times a number, the result is twenty-eight less than the square of the number. Find all such numbers.

Answer & Explanation

rogreenhoxa8

rogreenhoxa8

Skilled2021-02-23Added 109 answers

Let x be the number so we write the equation: 6x+12=x228
Write in the form ax2+bx+c=0
0=x26x40
Factor the right side: 0=(x+4)(x-10)
By zero product property, x+4=0,x-10=0 x=-4,10
Jeffrey Jordon

Jeffrey Jordon

Expert2021-08-10Added 2605 answers

Explained on video

Jeffrey Jordon

Jeffrey Jordon

Expert2021-10-09Added 2605 answers

Answer is given below (on video)

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