Solve the equation x^(2)-7x+8=0 to the nearest tenth. Answer: x=

Identify Equation Type: Identify the type of equation. We have a quadratic equation in the form of ax^2 + bx + c = 0, where a = 1, b = -7, and c = 8.Solve Using Quadratic Formula: Solve the quadratic equation using the quadratic formula. The quadratic formula is x = (-b ± √(b^2 - 4ac)) / (2a). Here, a = 1, b = -7, and c = 8.Calculate Discriminant: Calculate the discriminant (b^2 - 4ac). Discriminant = (-7)^2 - 4(1)(8) = 49 - 32 = 17.Apply to Quadratic Formula: Apply the discriminant to the quadratic formula. x = (-(-7) ± √17) / (2*1) x = (7 ± √17) / 2Calculate Possible Solutions: Calculate the two possible solutions for x. First solution: x = (7 + √17) / 2 Second solution: x = (7 - √17) / 2Evaluate Solutions: Evaluate the solutions to the nearest tenth. First solution: x ≈ (7 + 4.123) / 2 ≈ 11.123 / 2 ≈ 5.6 Second solution: x ≈ (7 - 4.123) / 2 ≈ 2.877 / 2 ≈ 1.4

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Solve the equation
x^(2)-7x+8=0 to the nearest tenth.
Answer:
x=

Solve the equation $x^{2}-7 x+8=0$ to the nearest tenth. $\newline$ Answer: $x=$

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Q. Solve the equation

x^{2}-7 x+8=0

to the nearest tenth.

\newline

Answer:

x=

Identify Equation Type: Identify the type of equation. $\newline$ We have a quadratic equation in the form of $ax^2 + bx + c = 0$ , where $a = 1$ , $b = -7$ , and $c = 8$ .
Solve Using Quadratic Formula: Solve the quadratic equation using the quadratic formula. $\newline$ The quadratic formula is $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$ . $\newline$ Here, $a = 1$ , $b = -7$ , and $c = 8$ .
Calculate Discriminant: Calculate the discriminant $b^2 - 4ac$ . $\newline$ Discriminant = $(-7)^2 - 4(1)(8) = 49 - 32 = 17$ .
Apply to Quadratic Formula: Apply the discriminant to the quadratic formula. $\newline$ $x = \frac{-(-7) \pm \sqrt{17}}{2 \cdot 1}$ $\newline$ $x = \frac{7 \pm \sqrt{17}}{2}$
Calculate Possible Solutions: Calculate the two possible solutions for $x$ . $\newline$ First solution: $x = \frac{7 + \sqrt{17}}{2}$ $\newline$ Second solution: $x = \frac{7 - \sqrt{17}}{2}$
Evaluate Solutions: Evaluate the solutions to the nearest tenth. $\newline$ First solution: $x \approx (7 + 4.123) / 2 \approx 11.123 / 2 \approx 5.6$ $\newline$ Second solution: $x \approx (7 - 4.123) / 2 \approx 2.877 / 2 \approx 1.4$