Math Formula Sheet

Algebra → Quadratic equations, inequalities and systems of equations → Quadratic equations

MR-157

Solve the following equation:

$\frac{2 x + 1}{x - 1} + \frac{x - 1}{2 x + 1} = \frac{5 x^{2} + 4}{(x - 1) \cdot (2 x + 1)}$

MR-158

Solve the following equation:

$x - \frac{x + 10}{x + 3} = 2$

MR-162

Solve the following equation:

$25 x^{2} + 20 \sqrt{3} + 61 = 0$

MR-163

Solve the following equation:

$\frac{x + 2}{x - 2} + \frac{x - 2}{x + 2} = 0$

MR-164

Solve the following equation:

$(5 x - 3) (5 x + 3) - (3 x + 5) (3 x - 5) = 0$

MR-175

Solve the following equation:

$\frac{x}{x - 1} + \frac{x}{x + 1} = \frac{9}{4}$

MR-843 / 423.a

Using the formula $x_{1, 2} = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}$ for solutions of a quadratic equation $a x^{2} + b x + c = 0$ , solve the equation:

$x^{2} - 5 x + 6 = 0$

MR-848 / 423.e

Using the formula $x_{1, 2} = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}$ for solutions of a quadratic equation $a x^{2} + b x + c = 0$ , solve the equation:

$4 x^{2} - 17 x + 4 = 0$

MR-849 / 423.f

Using the formula $x_{1, 2} = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}$ for solutions of a quadratic equation $a x^{2} + b x + c = 0$ , solve the equation:

$x^{2} - 9 \frac{1}{9} x + 1 = 0$

MR-847 / 423.d

Using the formula $x_{1, 2} = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}$ for solutions of a quadratic equation $a x^{2} + b x + c = 0$ , solve the equation:

$x^{2} - 0, 11 x + 0, 001 = 0$

MR-845 / 423.b

Using the formula $x_{1, 2} = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}$ for solutions of a quadratic equation $a x^{2} + b x + c = 0$ , solve the equation:

$x^{2} - 3 x - 28 = 0$

MR-846 / 423.c

Using the formula $x_{1, 2} = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}$ for solutions of a quadratic equation $a x^{2} + b x + c = 0$ , solve the equation:

$2 x^{2} - 5 x - 25 = 0$

MR-884 / 431.b

Solve the following equation:

$x^{2} - (3 - 2 \sqrt{2}) x + 4 - 3 \sqrt{2} = 0$

MR-844 / 431.a

Oldja meg az alábbi egyenletet:

$x^{2} - (3 + 2 \sqrt{5}) x + 7 + 3 \sqrt{5}$

MR-441 / 441.

Solve the following equation::

$x^{2} - 2 x - 3 = 0$

MR-569 / 569.

Solve the equation below:

$x^{2} - 2 x - 35 = 0$