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In each of the following, solve the given quadratic equation exactly using the quadratic formula. Write the solutions in its simplest form. Using a calculator, determine all irrational solutions to the nearest thousandth.$$9-3 x^{2}+5 x=8+2 x^{2}$$

$$\frac{5 \pm 3 \sqrt{5}}{10},-0.171,1.171$$

Algebra

Chapter 0

Reviewing the Basics

Section 4

The Quadratic Formula and Applications

Equations and Inequalities

Oregon State University

McMaster University

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Yeah. First we subtract the left hand side from both sides of this equation and it becomes zero echoes my nurse nine press scrape X squared minus five X. Because 82 X squared. Then we combine the seminar terms which gives us five X squared minus five minus one equals zero. Then we can identify the confessions of this function equals five equals minus five. And say it cause my nurse one and then we substitute A. B. And C. The their values into this form. The denominator is two times for the numerator is five. Some miners the square root of minus five squared minus four times five times miners which equals five plus some miners the square root um 45/10 which equals five plus um miners three times the square root out. 5/10. If they use a calculator, their approximate values minus points 171 and 1.171

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