Q. 76 * 448/16/16 = (x)^3 + √400 Find the value of "x"

Answer

Let's break this down step by step:

### Step 1: Simplify the left-hand side

The expression is: 
\[
76 \times \frac{448}{16 \times 16}
\]

First, simplify the division:
\[
\frac{448}{16} = 28
\]
Now divide 28 by 16:
\[
\frac{28}{16} = 1.75
\]

Now multiply by 76:
\[
76 \times 1.75 = 133
\]

So the left-hand side simplifies to 133.

### Step 2: Simplify the right-hand side

We are given:
\[
x^3 + \sqrt{400}
\]

Since \( \sqrt{400} = 20 \), the equation becomes:
\[
x^3 + 20
\]

### Step 3: Set up the equation

We now have:
\[
133 = x^3 + 20
\]

Subtract 20 from both sides:
\[
133 - 20 = x^3
\]
\[
x^3 = 113
\]

### Step 4: Solve for \( x \)

Now take the cube root of 113:
\[
x = \sqrt[3]{113}
\]

Approximating the cube root:
\[
x \approx 4.82
\]

### Final Answer:
The value of \( x \) is approximately \( 4.82 \).

Would you like further details or clarifications?

---

**Related questions:**
1. How is the cube root of a number calculated?
2. What are other methods to solve cubic equations?
3. How does simplifying square roots work?
4. How can I estimate roots without a calculator?
5. How can equations like these be solved graphically?

**Tip:** Always simplify step-by-step and handle operations inside parentheses or radicals first for clarity.

Q. 76 * 448/16/16 = (x)^3 + √400 Find the value of 'x'

Learn how to solve the algebraic equation 76 * 448 / 16 / 16 = x^3 + √400. This step-by-step solution covers simplification techniques, cube roots, and square roots. Perfect for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation