Find the zeros of the function f(x)=x^(2)+2x-2. Round values to the nearest hundredth (if necessary). Answer: x=

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Find the zeros of the function  f(x)=x^(2)+2x-2. Round values to the nearest hundredth (if necessary). Answer:  x=

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Set up equation: Set up the equation to find the zeros of the function. To find the zeros of the function f(x) = x^2 + 2x - 2, we need to solve the equation f(x) = 0. This gives us the quadratic equation x^2 + 2x - 2 = 0.Use quadratic formula: Use the quadratic formula to solve for x. The quadratic formula is x = [-b ± sqrt(b^2 - 4ac)] / (2a), where a, b, and c are the coefficients from the quadratic equation ax^2 + bx + c = 0. In our case, a = 1, b = 2, and c = -2.Calculate discriminant: Calculate the discriminant. The discriminant is the part of the quadratic formula under the square root, b^2 - 4ac. For our equation, it is 2^2 - 4(1)(-2) = 4 + 8 = 12.Apply to formula: Apply the discriminant to the quadratic formula. Now we can plug the values into the quadratic formula: x = [-2 ± sqrt(12)] / (2*1). This simplifies to x = [-2 ± sqrt(12)] / 2.Simplify square root: Simplify the square root. The square root of 12 can be simplified to 2sqrt(3). So the equation becomes x = [-2 ± 2sqrt(3)] / 2.Simplify equation: Simplify the equation further. We can divide both terms in the numerator by 2, which gives us x = -1 ± sqrt(3).Calculate decimal values: Calculate the approximate decimal values. The square root of 3 is approximately 1.732. So we have two solutions: x = -1 + 1.732 and x = -1 - 1.732.Round solutions: Round the solutions to the nearest hundredth. The first solution is x ≈ 0.732 and the second solution is x ≈ -2.732 when rounded to the nearest hundredth.

Find the zeros of the function $f(x)=x^{2}+2 x-2$ . Round values to the nearest hundredth (if necessary). $\newline$ Answer: $x=$

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Find the zeros of the function f(x)=x2+2x−2 f(x)=x^{2}+2 x-2 f(x)=x2+2x−2. Round values to the nearest hundredth (if necessary).\newlineAnswer: x= x= x=

Find the zeros of the function $f(x)=x^{2}+2 x-2$ . Round values to the nearest hundredth (if necessary). $\newline$ Answer: $x=$