Solve the equation x^(2)-2x-10=4x to the nearest tenth. Answer: x=

Rewrite equation in standard form: Rewrite the equation in standard form by moving all terms to one side. x^2 - 2x - 10 = 4x Subtract 4x from both sides to get: x^2 - 2x - 10 - 4x = 0 Combine like terms: x^2 - 6x - 10 = 0Solve using quadratic formula: Solve the quadratic equation using the quadratic formula. The quadratic formula is x = (-b ± √(b^2 - 4ac)) / (2a), where a = 1, b = -6, and c = -10. First, calculate the discriminant (b^2 - 4ac): (-6)^2 - 4(1)(-10) = 36 + 40 = 76Find two solutions: Use the discriminant to find the two solutions for x. x = (-(-6) ± √76) / (2 * 1) x = (6 ± √76) / 2Calculate solutions: Calculate the two solutions for x. First solution: x = (6 + √76) / 2 x ≈ (6 + 8.7178) / 2 x ≈ 14.7178 / 2 x ≈ 7.4 (rounded to the nearest tenth) Second solution: x = (6 - √76) / 2 x ≈ (6 - 8.7178) / 2 x ≈ -2.7178 / 2 x ≈ -1.4 (rounded to the nearest tenth)

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Solve the equation
x^(2)-2x-10=4x to the nearest tenth.
Answer:
x=

Solve the equation $x^{2}-2 x-10=4 x$ to the nearest tenth. $\newline$ Answer: $x=$

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Q. Solve the equation

x^{2}-2 x-10=4 x

to the nearest tenth.

\newline

Answer:

x=

Rewrite equation in standard form: Rewrite the equation in standard form by moving all terms to one side. $\newline$ $x^2 - 2x - 10 = 4x$ $\newline$ Subtract $4x$ from both sides to get: $\newline$ $x^2 - 2x - 10 - 4x = 0$ $\newline$ Combine like terms: $\newline$ $x^2 - 6x - 10 = 0$
Solve using quadratic formula: Solve the quadratic equation using the quadratic formula. The quadratic formula is $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$ , where $a = 1$ , $b = -6$ , and $c = -10$ . First, calculate the discriminant ( $b^2 - 4ac$ ): $(-6)^2 - 4(1)(-10) = 36 + 40 = 76$
Find two solutions: Use the discriminant to find the two solutions for $x$ . $x = \frac{-(-6) \pm \sqrt{76}}{2 \cdot 1}$ $x = \frac{6 \pm \sqrt{76}}{2}$
Calculate solutions: Calculate the two solutions for $x$ . $\newline$ First solution: $\newline$ $x = \frac{6 + \sqrt{76}}{2}$ $\newline$ $x \approx \frac{6 + 8.7178}{2}$ $\newline$ $x \approx \frac{14.7178}{2}$ $\newline$ $x \approx 7.4$ (rounded to the nearest tenth) $\newline$ Second solution: $\newline$ $x = \frac{6 - \sqrt{76}}{2}$ $\newline$ $x \approx \frac{6 - 8.7178}{2}$ $\newline$ $x \approx \frac{-2.7178}{2}$ $\newline$ $x \approx -1.4$ (rounded to the nearest tenth)