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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.$$x^{2}-6 x+23=0$$

$$3 \pm \sqrt{14 i}$$

Algebra

Chapter 0

Reviewing the Basics

Section 4

The Quadratic Formula and Applications

Equations and Inequalities

Campbell University

Oregon State University

McMaster University

Lectures

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In each of the following, …

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Solve each of the quadrati…

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Solve each equation using …

First we identify the coefficients of this quadratic equation as a echoes one B equals minus six and say he calls 23. Next we substitute A B and C. V. Their values into this formula. The denominator is to the numerator is six plus some miners the square root of minor six squared minus four times one times 23 which echoes six plus. Um miners the square root of minors 56 over to which echoes three plus. Um miners square root on minors 14. Here we need to use. All right. Which is the unit of the imaginary number and I equals the square root of minors. So the first solution is three miners school rolled out 14 high and the second solution has straight plus the square root of 14.

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