Im begging! please someone teach me how to answer this!
when 3 times a number is added to the square of a number the result is ten find the number.
I don't know where to start but please teach me or tell me the process to answer this,even just a process. I can answer this if you tell me:)
Assuming the number is the same for multiple and square root:
3x + √x = 10
Solve for x.
I read square root.
x^2 + 3x = 10
x^2 + 3x - 10 = 0
Factor.
Of course, I'll be happy to explain the process to solve this problem Step-by-step.
Let's break down the problem and identify the necessary information:
1. Let's assume the unknown number as "x."
2. "3 times a number is added to the square of a number." In mathematical terms, this can be written as: 3x + x^2.
3. The result of 3x + x^2 is equal to ten, which can be written as: 3x + x^2 = 10.
Now, let's solve the equation to find the value of x:
1. Start by rearranging the equation to make it a quadratic equation: x^2 + 3x - 10 = 0.
2. To solve the quadratic equation, you can use factoring, completing the square, or the quadratic formula. In this case, let's use factoring.
Factor the quadratic equation: (x + 5)(x - 2) = 0.
3. Now, we have two possible solutions for x: x + 5 = 0 or x - 2 = 0.
Solve for x in the first equation: x = -5.
Solve for x in the second equation: x = 2.
Therefore, the two possible solutions for the number are -5 and 2.