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Answer:
1
Step-by-step explanation:
dahil maha kita na nag hugas ako ng panty sa inidoro tapos bumili ako ng basura dahil hinde ka nmn basura plastic ay isang uri ng metal na matatagpuan sa nort pole in the middle of core of the earth
Answer:
(3/2, 8) and (-1, -12)
Step-by-step explanation:
We can use two methods namely the application of the quadratic formula and the factoring method.
Step 1: Transform the number statement into a mathematical equation. The given number statements are:
1.1. Two numbers with a product of 12
1.2. One number is 4 less than 8 times the other number.
Let x be the first number and y be the second number. The above statements are equivalent to:
1.1.1. x ( y) = 12
1.2.1. 8 x - 4 = y
Step 2: We have two equations and two unknown variables. Substitute the second equation as a function of y to the first equation. Hence,
x ( 8x -4) = 12
8 [tex]x^{2}[/tex] - 4x - 12 = 0
Step 3: A quadratic equation is derived. Solve for x and y.
Method 1: Use of quadratic formula:
x = [tex]\frac{-b^{2} +- \sqrt{b^{2} - 4ac } }{2a}[/tex], with a = 8, b = -4, c = -12
Substitute the values of the variables.
x = [tex]\frac{-(-4)^{2} + \sqrt{(-4)^{2} - 4(8)(-12) } }{2(8)}[/tex]; x = [tex]\frac{3}{2}[/tex]
x = [tex]\frac{-(-4)^{2} - \sqrt{(-4)^{2} - 4(8)(-12) } }{2(8)}[/tex]; x = -1
Find the value of y by using the resulting values of x.
8 x - 4 = y
8 ( [tex]\frac{3}{2}[/tex]) - 4 = y
y = 8
8x - 4 = y
8( -1) -4 = y
y = -12
Thus, there are two sets of possible numbers for this problem which are [tex]\frac{3}{2}[/tex] and 8, or -1 and -12.
Method 2: Factoring method
8 [tex]x^{2}[/tex] - 4x - 12 = 0
Based on our equation, we can factor it by 4, resulting to:
4 (2[tex]x^{2}[/tex] - x - 3) =0
We can further proceed to factor our equation into two binomials.
4 ( 2x -3) ( x +1) =0
Set each factor to 0 to get the value of x.
2x -3 =0 ; 2x = 3; x = [tex]\frac{3}{2}[/tex]
x + 1 = 0 ; x = -1
Substitute our resulting values of x to equation 1.2.1 to get the values of y.
8 x - 4 = y
8 ( [tex]\frac{3}{2}[/tex] ) - 4 = y ; y = 8
8 (-1) - 4 = y ; y= -12
Therefore, the numbers are [tex]\frac{3}{2}[/tex] and 8, and, -1 and -12.
Learn more about quadratic equations on the link below:
brainly.ph/question/1499514
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