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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" $\begin{array}{l} (A) 鈭� 1.84 (B) 鈭� 0.81 \\ (C) 0.34 (D) 2.37 \end{array}$

Short Answer

Expert verified

The option $(C)$ is correct.

Step by step solution

01

Step 1. Write down the given inequality.

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

02

Step 2. Solve the given equation.

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

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

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

03

Step 3. Conclusion.

The option $(C)$ is correct.

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