how do you solve quadratic equations by finding square roots
i have no clue how to do this. I have fallen behind in my math class because my teacher is horrible. I need to learn this to understand everything in the section in the section. I beg someboody to answer this question. i don't want any replys like figure it out yourself or coments like ms. sue has ben posting as `answers'.Pleeaseeeeee!
<3 converse
an addition to my question, how would you solve somthing like 2(radical sign)2
All u need to do is to find factors of the product of the first and last
All u need to do is to find factors of the product of the first and last Or just factorise the equation leaving out 0
Don't worry, I'm here to help! Solving quadratic equations by finding square roots is a straightforward method. Let me guide you through the steps:
Step 1: Make sure the quadratic equation is in the proper form. The standard form of a quadratic equation is ax^2 + bx + c = 0, where a, b, and c are real numbers.
Step 2: Determine the values of a, b, and c in the equation. For example, let's say you have the equation 2x^2 + 5x - 3 = 0.
Here, a = 2, b = 5, and c = -3. It's important to identify these values correctly.
Step 3: Apply the square root property. If a quadratic equation can be written in the form x^2 = k, where k is a positive number, then the solutions can be found by taking the square root of both sides of the equation.
In our example, we have 2x^2 + 5x - 3 = 0. We want to solve for x.
Step 4: Move the constant term (c) to the right side of the equation by adding or subtracting it from both sides. This step eliminates the constant term and sets the equation equal to zero.
Following our example, we have 2x^2 + 5x = 3.
Step 5: Divide the entire equation by the coefficient of the x^2 term (a). In this case, divide the equation by 2.
We now have (2x^2 + 5x) / 2 = 3 / 2, which simplifies to x^2 + (5/2)x = 3/2.
Step 6: Apply the square root property by taking the square root of both sides of the equation.
√(x^2 + (5/2)x) = ±√(3/2).
Step 7: Solve for x. This is where you'll use the positive and negative square roots.
For our example, we have x = (-5/2 ± √(3/2)).
Now, you have two potential solutions for x due to the ± symbol. Plug each value back into the original equation to check if they satisfy the equation.
That's it! You've solved the quadratic equation by finding square roots. Remember to practice with different examples to solidify your understanding of the method. Good luck!