multiply the equation by 30 giving x^2 = 2x + 15or x^2 - 2x -15 = 0.
This factorises to (x - 5)(x + 3) giving solutions of 5 and -3.
Check it 25/30 = 5/15 + 1/2 ie 25/30 = 10/30 + 15/30.
and 9/30 = -3/15 + 1/2 ie 9/30 = -6/30 + 15/30
Both check out!
most commonly you would place the highest exponent first. x0 = 1. 54x3 + 62x2 - 344x + 2 = 0
j.s.mill
In subtraction, the minuend minus the subtrahend equals the difference.
No, there is a big difference between 2^(-4) and (-2)^4 The first is 1/16 and the second is 16. A negative exponent is the reciprocal of a positive exponent. a^b is going to be 1/ (a^(-b)), Similarly, (a^b)*(a^(-b))=1 for two reasons. First multiplying reciprocals cancels them out. Second, when you multiply the same base you add the exponents, so (a^b)*(a^(-b)) = a^0 which equals 1◄
When multiplying a variable with an exponent by a variable without an exponent, you add the exponent of the first variable to the exponent of the second variable (which is considered to be 1). For example, if you multiply (x^2) by (x), the result is (x^{2+1} = x^3). This rule applies to variables with the same base.
They can be performed in either order.
most commonly you would place the highest exponent first. x0 = 1. 54x3 + 62x2 - 344x + 2 = 0
In any subtraction sum, such as 8 - 3 = 5, the first number is the minuend, the second number is the subtrahend, and the third number, following the equals sign, is the difference.
2 and 3
recognizing and identify the problem
Multiplicand times multiplier equals product.
j.s.mill
In subtraction, the minuend minus the subtrahend equals the difference.
No, there is a big difference between 2^(-4) and (-2)^4 The first is 1/16 and the second is 16. A negative exponent is the reciprocal of a positive exponent. a^b is going to be 1/ (a^(-b)), Similarly, (a^b)*(a^(-b))=1 for two reasons. First multiplying reciprocals cancels them out. Second, when you multiply the same base you add the exponents, so (a^b)*(a^(-b)) = a^0 which equals 1◄
When multiplying a variable with an exponent by a variable without an exponent, you add the exponent of the first variable to the exponent of the second variable (which is considered to be 1). For example, if you multiply (x^2) by (x), the result is (x^{2+1} = x^3). This rule applies to variables with the same base.
To find the exponent of a number, we typically look for its prime factorization. However, the term "exponent" can also refer to the exponent in the context of a specific base. If you want to know the exponent in the context of prime factorization, you would need to factor the number first. If you meant something else by "exponent," please provide more context for a precise answer.
The first step toward finding a solution is defining the problem or issue clearly. This involves understanding what the problem is, why it is a problem, and what the desired outcome or solution should look like.