Solve the following quadratic equation for all values of xx in simplest form.4, plus, 3, x, squared, equals, 74+3x 2 =7
Question
Solve the following quadratic equation for all values of xx in simplest form.
Given the equation:
Solution
Sure, let's solve the quadratic equation step by step:
- First, write down the equation: 4 + 3x^2 = 7
- Subtract 4 from both sides to isolate the term with x: 3x^2 = 7 - 4
- Simplify the right side: 3x^2 = 3
- Divide both sides by 3 to solve for x^2: x^2 = 1
- Finally, take the square root of both sides to solve for x. Remember that the square root of a number y is both positive and negative root of y. So, x = sqrt(1) = 1 and x = -sqrt(1) = -1
So, the solutions to the equation are x = 1 and x = -1.
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