x = 8
x = 10
x = 11
The solution to the given algebraic expression (x - 2)(x + 10) = 13 is x = 3
An algebraic equation is the combination of variables and their coefficients(usually numbers) with arithmetic operations. The main purpose of an algebraic expression is to determine the value(s) of the variable(s).
From the given information:
(x - 2)(x + 10) = 13
x² + 10x - 2x - 20 = 13
x² + 8x -20 -13
x² + 8x - 33 = 0 (quadratic equation)
Using the quadratic formula, the values of x are - 11 and 3. Since we are considering only the positive integer only, x = 3
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Answer: X=3
Step-by-step explanation:
1. expand the equation
x^2 + 10x -2x -20 = 13
2. Collect like terms
x^2 + 8x - 20 = 13
3. Simplify
x^2 + 8x = 13 + 20
x^2 + 8x = 33
x^2 = 33 - 8x
4. Substitute answers for guess and check
3^2 = 33 - (8 x 3)
9 = 33 - 24
This equation is correct therefore x = 3
The solution to the equation 3x + 1 = 10 is x = 3.
To solve the equation 3x + 1 = 10, follow these steps:
Step 1: Get the variable term (3x) by itself by subtracting 1 from both sides of the equation.
3x + 1 - 1 = 10 - 1
3x = 9
Step 2: Isolate the variable by dividing both sides of the equation by the coefficient of x, which is 3.
3x/3 = 9/3
x = 3
So, the solution to the equation is x = 3.
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