https://file.aiquickdraw.com/mathbot/file/1725549036477sozwd4yf.jpg

The image shows a quadratic equation:

\[
x^2 - 4.95x + 0.018 = 0
\]

The problem asks for the largest solution in decimal form, rounded to 2 significant figures.

To solve this, we can apply the quadratic formula:

\[
x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}
\]

Where the equation is in the form \( ax^2 + bx + c = 0 \), and for this equation:
- \( a = 1 \)
- \( b = -4.95 \)
- \( c = 0.018 \)

I'll now calculate the largest solution using the quadratic formula.The largest solution to the quadratic equation \(x^2 - 4.95x + 0.018 = 0\) is \(4.95\), rounded to 2 significant figures.

Would you like further details or clarifications?

Here are 5 related questions to explore:
1. How would you find the smaller solution to this quadratic equation?
2. What happens if the discriminant in the quadratic formula is negative?
3. How does the rounding affect the precision of the solution?
4. Can you apply this formula to any quadratic equation?
5. How would this equation change if one of the coefficients was zero?

**Tip**: Always check the discriminant value before applying the quadratic formula, as it tells you if real solutions exist.

The following quadratic equation has 2 solutions. What is the largest solution? Provide your answer in decimal notation, rounded to 2 significant figures. x^2 - 4.95x + 0.018 = 0.

Learn how to solve the quadratic equation x^2 - 4.95x + 0.018 using the quadratic formula. This step-by-step solution explains how to calculate the largest solution, rounded to 2 significant figures. Ideal for Grades 9-11 students learning about quadratic equations.

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