Solve the equation 3x^(2)-5x-5=0 to the nearest tenth. Answer: x=

Calculate Discriminant: To solve the quadratic equation 3x^(2)-5x-5=0, we can use the quadratic formula, which is x = (-b ± √(b^2-4ac))/(2a), where a, b, and c are the coefficients from the equation ax^2 + bx + c = 0. In our case, a = 3, b = -5, and c = -5.Plug into Quadratic Formula: First, we calculate the discriminant, which is the part under the square root in the quadratic formula: b^2 - 4ac. Discriminant = (-5)^2 - 4 * 3 * (-5) = 25 + 60 = 85.Calculate Solutions: Now we can plug the discriminant and the coefficients into the quadratic formula to find the two possible values for x. x = (-(-5) ± √85) / (2 * 3) x = (5 ± √85) / 6Approximate Square Root: We will now calculate the two possible solutions for x. First solution: x = (5 + √85) / 6 Second solution: x = (5 - √85) / 6Round Solutions: Using a calculator, we find the approximate values for the square root of 85 and then for x. √85 ≈ 9.220 First solution: x ≈ (5 + 9.220) / 6 ≈ 14.220 / 6 ≈ 2.370 Second solution: x ≈ (5 - 9.220) / 6 ≈ -4.220 / 6 ≈ -0.703Finally, we round the solutions to the nearest tenth. First solution: x ≈ 2.4 Second solution: x ≈ -0.7

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Solve the equation
3x^(2)-5x-5=0 to the nearest tenth.
Answer:
x=

Solve the equation $3 x^{2}-5 x-5=0$ to the nearest tenth. $\newline$ Answer: $x=$

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Q. Solve the equation

3 x^{2}-5 x-5=0

to the nearest tenth.

\newline

Answer:

x=

Calculate Discriminant: To solve the quadratic equation $3x^{2}-5x-5=0$ , we can use the quadratic formula, which is $x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}$ , where $a$ , $b$ , and $c$ are the coefficients from the equation $ax^2 + bx + c = 0$ . In our case, $a = 3$ , $b = -5$ , and $c = -5$ .
Plug into Quadratic Formula: First, we calculate the discriminant, which is the part under the square root in the quadratic formula: $b^2 - 4ac$ . $\newline$ Discriminant = $(-5)^2 - 4 \times 3 \times (-5) = 25 + 60 = 85$ .
Calculate Solutions: Now we can plug the discriminant and the coefficients into the quadratic formula to find the two possible values for $x$ . $x = \frac{-(-5) \pm \sqrt{85}}{2 \times 3}$ $x = \frac{5 \pm \sqrt{85}}{6}$
Approximate Square Root: We will now calculate the two possible solutions for $x$ . $\newline$ First solution: $x = \frac{5 + \sqrt{85}}{6}$ $\newline$ Second solution: $x = \frac{5 - \sqrt{85}}{6}$
Round Solutions: Using a calculator, we find the approximate values for the square root of $85$ and then for $x$ . $\sqrt{85} \approx 9.220$ First solution: $x \approx (5 + 9.220) / 6 \approx 14.220 / 6 \approx 2.370$ Second solution: $x \approx (5 - 9.220) / 6 \approx -4.220 / 6 \approx -0.703$
Round Solutions: Using a calculator, we find the approximate values for the square root of $85$ and then for x. $\newline$ $\sqrt{85} \approx 9.220$ $\newline$ First solution: $x \approx (5 + 9.220) / 6 \approx 14.220 / 6 \approx 2.370$ $\newline$ Second solution: $x \approx (5 - 9.220) / 6 \approx -4.220 / 6 \approx -0.703$ Finally, we round the solutions to the nearest tenth. $\newline$ First solution: $x \approx 2.4$ $\newline$ Second solution: $x \approx -0.7$