What Two Numbers Multiply To 72? - Research Maniacs ~ Current News

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Online math calculator. This website uses cookies to improve your experience, analyze traffic and display ads.what x what = 72 Note that "what" and "what" in the above problem could be the same number or different numbers. Below is a list of all the different ways that what times what equals 72.First, the expression needs to be rewritten as x^{2}+ax+bx-72. To find a and b, set up a system to be solved. 1,-72 2,-36 3,-24 4,-18 6,-12 8,-9 . Since ab is negative, a and b have the opposite signs. Since a+b is negative, the negative number has greater absolute value than the positive. List all such integer pairs that give product -72.First, the expression needs to be rewritten as x^{2}+ax+bx+72. To find a and b, set up a system to be solved.-1,-72 -2,-36 -3,-24 -4,-18 -6,-12 -8,-9 . Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. List all such integer pairs that give product 72.

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a+b=-1 ab=1\left(-72\right)=-72

Factor the expression by means of grouping. First, the expression must be rewritten as x^2+ax+bx-72. To find a and b, arrange a device to be solved.

1,-72 2,-36 3,-24 4,-18 6,-12 8,-9

Since ab is unfavorable, a and b have the other indicators. Since a+b is damaging, the detrimental quantity has better absolute price than the certain. List all such integer pairs that give product -72.

1-72=-71 2-36=-34 3-24=-21 4-18=-14 6-12=-6 8-9=-1

Calculate the sum for each pair.

a=-Nine b=8

The solution is the pair that provides sum -1.

\left(x^2-9x\right)+\left(8x-72\right)

Rewrite x^2-x-72 as \left(x^2-9x\right)+\left(8x-72\right).

x\left(x-9\right)+8\left(x-9\right)

Factor out x in the first and eight in the second team.

\left(x-9\right)\left(x+8\right)

Factor out common time period x-9 by using distributive property.

x^2-x-72=0

Quadratic polynomial may also be factored the use of the transformation ax^2+bx+c=a\left(x-x_1\proper)\left(x-x_2\proper), where x_1 and x_2 are the answers of the quadratic equation ax^2+bx+c=0.

x=\frac-\left(-1\proper)±\sqrt1-4\left(-72\right)2

All equations of the form ax^2+bx+c=Zero will also be solved using the quadratic formula: \frac-b±\sqrtb^2-4ac2a. The quadratic method offers two answers, one when ± is addition and one when it's subtraction.

x=\frac-\left(-1\proper)±\sqrt1+2882

Multiply -Four times -72.

x=\frac-\left(-1\right)±\sqrt2892

Add 1 to 288.

x=\frac-\left(-1\proper)±172

Take the sq. root of 289.

x=\frac1±172

The opposite of -1 is 1.

x=\frac182

Now solve the equation x=\frac1±172 when ± is plus. Add 1 to 17.

x=9

Divide 18 by 2.