This can solved by forming quadratic equation.
Let one of the number be x, then other number = 2-x
Also, x(2-x) = -12 (Since product of the numbers is -12)
2x - x2 = -12
Multiplying both sides by -1
x2 - 2x = 12
x2 - 2x - 12 = 0
The equation is of the form: ax2+bx+c = 0
On comparing we get, a = 1, b = -2 and c = -12
Now, we will calculate D, D = b2 - 4ac = 4 - 4x1x(-12) = 52.
Now, x can be known by using the relation: x = (-b + D1/2)/2a or x = (-b - D1/2)/2a
Plugging in the values, we get
x = (2 + 2 X 131/2)/2 or x = (2 - 2 X 131/2)/2 (Here Bold X indicates multiply)
On further simplification we get:
x = 1+131/2 or x = 1-131/2
If one of the number is 1 + 131/2 then other is 1 - 131/2. (Since sum of the numbers is 2)
If one of the number is 1 - 131/2 then other is 1 + 131/2.
80
negative 3 and positive 4
If you multiply two numbers, the result will be positive, if both factors are positive, or if both are negative. Multiplying a positive number by a negative number, or a negative number by a positive number, results in a negative result.For addition, if you add two positive numbers, the result is positive. If you add two negative numbers, the result is negative. If you add a positive and a negative number, the result depends on which of the numbers has the greater absolute value. For example, if the positive number has the greater absolute value (distance from zero), the result will be positive.If you multiply two numbers, the result will be positive, if both factors are positive, or if both are negative. Multiplying a positive number by a negative number, or a negative number by a positive number, results in a negative result.For addition, if you add two positive numbers, the result is positive. If you add two negative numbers, the result is negative. If you add a positive and a negative number, the result depends on which of the numbers has the greater absolute value. For example, if the positive number has the greater absolute value (distance from zero), the result will be positive.If you multiply two numbers, the result will be positive, if both factors are positive, or if both are negative. Multiplying a positive number by a negative number, or a negative number by a positive number, results in a negative result.For addition, if you add two positive numbers, the result is positive. If you add two negative numbers, the result is negative. If you add a positive and a negative number, the result depends on which of the numbers has the greater absolute value. For example, if the positive number has the greater absolute value (distance from zero), the result will be positive.If you multiply two numbers, the result will be positive, if both factors are positive, or if both are negative. Multiplying a positive number by a negative number, or a negative number by a positive number, results in a negative result.For addition, if you add two positive numbers, the result is positive. If you add two negative numbers, the result is negative. If you add a positive and a negative number, the result depends on which of the numbers has the greater absolute value. For example, if the positive number has the greater absolute value (distance from zero), the result will be positive.
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80
A negative times a positive is always a negative. The rest is the same: just multiply as if they are both positive numbers and then add the negative sign at the end.
Multiply the numbers ignoring the signs and then add a negative sign.
negative 3 and positive 4
If you multiply two numbers, the result will be positive, if both factors are positive, or if both are negative. Multiplying a positive number by a negative number, or a negative number by a positive number, results in a negative result.For addition, if you add two positive numbers, the result is positive. If you add two negative numbers, the result is negative. If you add a positive and a negative number, the result depends on which of the numbers has the greater absolute value. For example, if the positive number has the greater absolute value (distance from zero), the result will be positive.If you multiply two numbers, the result will be positive, if both factors are positive, or if both are negative. Multiplying a positive number by a negative number, or a negative number by a positive number, results in a negative result.For addition, if you add two positive numbers, the result is positive. If you add two negative numbers, the result is negative. If you add a positive and a negative number, the result depends on which of the numbers has the greater absolute value. For example, if the positive number has the greater absolute value (distance from zero), the result will be positive.If you multiply two numbers, the result will be positive, if both factors are positive, or if both are negative. Multiplying a positive number by a negative number, or a negative number by a positive number, results in a negative result.For addition, if you add two positive numbers, the result is positive. If you add two negative numbers, the result is negative. If you add a positive and a negative number, the result depends on which of the numbers has the greater absolute value. For example, if the positive number has the greater absolute value (distance from zero), the result will be positive.If you multiply two numbers, the result will be positive, if both factors are positive, or if both are negative. Multiplying a positive number by a negative number, or a negative number by a positive number, results in a negative result.For addition, if you add two positive numbers, the result is positive. If you add two negative numbers, the result is negative. If you add a positive and a negative number, the result depends on which of the numbers has the greater absolute value. For example, if the positive number has the greater absolute value (distance from zero), the result will be positive.
A negative and a positive number will multiply to a negative number. Other than that, -9 and -8 will satisfy your conditions.
There are no two real numbers that do, but the complex numbers (2 + i) and (2 - i) will.If you want two numbers that multiply to negative 5 and add to positive 4 then: -1 and 5If you want two numbers that multiply to negative 5 and add to negative 4 then: 1 and -5
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-3
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If you subtract a negative from a positive, add both of their absolute values. If you subtract a positive from a negative, add both of their absolute values and multiply by negative one.