Use the quadratic formula to solve -8x² + 15x + 5 = 0. (Round your answers to two decimal places.) X = (smaller value) (larger value) X =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

Use the quadratic formula to solve -8x2 + 15x + 5 = 0. (Round your answers to two decimal places.)

**Quadratic Equation Solution using the Quadratic Formula:**

To solve the quadratic equation \(-8x^2 + 15x + 5 = 0\), use the quadratic formula. Ensure to round your answers to two decimal places.

The quadratic formula is given by:
\[ x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{2a} \]

For this equation:
- \(a = -8\)
- \(b = 15\)
- \(c = 5\)

Calculate the two values for \(x\):
- \(x =\) (smaller value)
- \(x =\) (larger value)

Insert the calculated values into the appropriate boxes.
Transcribed Image Text:**Quadratic Equation Solution using the Quadratic Formula:** To solve the quadratic equation \(-8x^2 + 15x + 5 = 0\), use the quadratic formula. Ensure to round your answers to two decimal places. The quadratic formula is given by: \[ x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{2a} \] For this equation: - \(a = -8\) - \(b = 15\) - \(c = 5\) Calculate the two values for \(x\): - \(x =\) (smaller value) - \(x =\) (larger value) Insert the calculated values into the appropriate boxes.
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