Use the quadratic formula to solve for $x$ .
$5 x^{2} + 2 x - 2 = 0$
Round your answer to the nearest hundredth. If there is more than one solution, separate them with commas.
$x =$

Answer

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Final Answer: The solutions to the equation are $x = 0.46$ and $x = - 0.86$ .

Steps

Step 1 ：Given the quadratic equation $5 x^{2} + 2 x - 2 = 0$ , we are asked to find the solutions for $x$ .

Step 2 ：We can use the quadratic formula, which is given by $x = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}$ , where $a$ , $b$ , and $c$ are coefficients of the quadratic equation $a x^{2} + b x + c = 0$ .

Step 3 ：In this case, $a = 5$ , $b = 2$ , and $c = - 2$ . We can substitute these values into the quadratic formula to find the solutions for $x$ .

Step 4 ：Calculating the discriminant $D = b^{2} - 4 a c = 44$ .

Step 5 ：Substituting $a$ , $b$ , and $D$ into the quadratic formula, we get two solutions: $x 1 = 0.46$ and $x 2 = - 0.86$ .

Step 6 ：Final Answer: The solutions to the equation are $x = 0.46$ and $x = - 0.86$ .

Use the quadratic formula to solve for x.5x2+2x−2=0Round your answer to the nearest hundredth. If there is more than one solution, separate them with commas.x=

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Use the quadratic formula to solve for $x$ .
$5 x^{2} + 2 x - 2 = 0$
Round your answer to the nearest hundredth. If there is more than one solution, separate them with commas.
$x =$