Chapter 7: Q58. (page 352)

If $\frac{1}{2} x^{2} - 6 x + 2 = 0$ then x equal to which if the following?
localid="1648135912902" $\begin{array}{l} (A) - 1.84 (B) - 0.81 \\ (C) 0.34 (D) 2.37 \end{array}$

Short Answer

Expert verified

The option $(C)$ is correct.

Step by step solution

Step 1. Write down the given inequality.

The given expression is $\frac{1}{2} x^{2} - 6 x + 2 = 0$ .

Step 2. Solve the given equation.

Solving the inequality $\frac{1}{2} x^{2} - 6 x + 2 = 0$ by quadratic formula.

$\begin{matrix} \frac{1}{2} x^{2} - 6 x + 2 = 0.... (Given) \\ x = \frac{- (- 6) \pm \sqrt{{(- 6)}^{2} - 4 (\frac{1}{2}) (2)}}{2 (\frac{1}{2})} \\ x = 6 - 4 \sqrt{2} \\ x = 0.343 \end{matrix}$

The result $x = 0.343$ matches with option (C).

Step 3. Conclusion.

The option $(C)$ is correct.

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If $\frac{1}{2} x^{2} - 6 x + 2 = 0$ then x equal to which if the following?
localid="1648135912902" $\begin{array}{l} (A) - 1.84 (B) - 0.81 \\ (C) 0.34 (D) 2.37 \end{array}$

Short Answer

Step by step solution

Step 1. Write down the given inequality.

Step 2. Solve the given equation.

Step 3. Conclusion.

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If 12x2-6x+2=0then x equal to which if the following?localid="1648135912902" A−1.84B−0.81C0.34D2.37

Short Answer

Step by step solution

Step 1. Write down the given inequality.

Step 2. Solve the given equation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Calculus

Probability and Statistics

Theoretical and Mathematical Physics

Logic and Functions

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

If $\frac{1}{2} x^{2} - 6 x + 2 = 0$ then x equal to which if the following?
localid="1648135912902" $\begin{array}{l} (A) - 1.84 (B) - 0.81 \\ (C) 0.34 (D) 2.37 \end{array}$