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Problem 479

Solve the equation \(3 \mathrm{x}^{2}-5 \mathrm{x}+2=0 \mathrm{by}\) means of the quadratic formula.

Expert verified

The solutions to the equation \(3x^2 - 5x + 2 = 0\) using the quadratic formula are \(x = 1\) and \(x = \frac{2}{3}\).

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Chapter 17

Find the value of \(\mathrm{k}\) if, in the equation $2 \mathrm{x}^{2}-\mathrm{kx}^{2}+4 \mathrm{x}+5 \mathrm{k}=0$, one root is the reciprocal of the other.

Chapter 17

Find the equation whose roots are \(3+\sqrt{2}\) and \(3-\sqrt{2}\).

Chapter 17

Determine the character of the roots of the equation $$ 4 x^{2}-12 x+9=0 $$

Chapter 17

Show that the roots of the quadratic equation \(\mathrm{x}^{2}-\mathrm{x}-3=0\) are \(\mathrm{x}_{1}=(1+\sqrt{1} 3) / 2\) and \(\mathrm{x}_{2}=(1-\sqrt{13}) / 2\)

Chapter 17

Use the quadratic formula to solve the equation \(3 x^{2}+4 x-5=0\)

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