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Grade 10 Math: Quadratic Equations, Graphs, and More Solving Quadratic Equations
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True or False? The following equation is the quadratic formula: $$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$$
True
False
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Using the quadratic formula, find the roots for the following equation $$ x(10x - 1) = 2 $$
\(x = \frac{1}{2}\) or \(x = -\frac{2}{5}\)
\(x = \frac{3}{2}\) or \(x = -\frac{2}{5}\)
\(x = \frac{1}{2}\) or \(x = -\frac{4}{5}\)
\(x = \frac{1}{2}\) or \(x = \frac{2}{5}\)
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Using the quadratic formula, find the roots for the following equation $$ 4x^2 + 3x - 27 = 0 $$
\(x = \frac{1}{4}\) or \(x = -3\)
\(x = \frac{9}{4}\) or \(x = -3\)
\(x = \frac{9}{4}\) or \(x = -2\)
\(x = \frac{9}{4}\) or \(x = -1\)
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Using the quadratic formula, find the roots for the following equation $$ 15x^2 - 26x - 21 = 0 $$
\(x = \frac{1}{3}\) or \(x = -\frac{3}{5}\)
\(x = \frac{2}{3}\) or \(x = -\frac{3}{5}\)
\(x = \frac{7}{3}\) or \(x = -\frac{3}{5}\)
\(x = \frac{7}{3}\) or \(x = -\frac{3}{7}\)
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Using the quadratic formula, find the roots for the following equation $$ 2x^2-7x=5 $$
\(x = \frac{6\pm\sqrt{89}}{4}\)
\(x = \frac{5\pm\sqrt{89}}{4}\)
\(x = \frac{3\pm\sqrt{89}}{4}\)
\(x = \frac{7\pm\sqrt{89}}{4}\)
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Using the quadratic formula, find the roots for the following equation $$ 10x+4=3x^2 $$
\(x = \frac{5\pm\sqrt{37}}{3}\)
\(x = \frac{5\pm\sqrt{35}}{3}\)
\(x = \frac{3\pm\sqrt{37}}{3}\)
\(x = \frac{3\pm\sqrt{37}}{3}\)
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Using the quadratic formula, find the roots for the following equation $$ 14=4x^2-6x $$
\(x = \frac{1\pm\sqrt{65}}{8}\)
\(x = \frac{3\pm\sqrt{65}}{8}\)
\(x = \frac{2\pm\sqrt{65}}{8}\)
\(x = \frac{3\pm\sqrt{61}}{8}\)
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Using the quadratic formula, find the roots for the following equation $$ \frac{1}{6}x^2+\frac{4}{3}x-\frac{2}{3}=0 $$
\(x = -4\pm 2 \sqrt{5}\)
\(x = -4\pm 2 \sqrt{3}\)
\(x = -4\pm 2 \sqrt{4}\)
\(x = -2\pm 2 \sqrt{2}\)
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Grade 10 Math Playlist
28 Videos
02:29:29
130 Questions
0 Notes
System of Linear Equations
Solving Linear Systems (Substitution Method)
Solving Linear Systems (Elimination Method)
Equivalent Linear Equations
Problem Solving with Linear Systems
Quadratic Equations, Graphs, and More
Investigating Non-Linear Relations
Intro to Quadratic Functions
Vertical Translation of Quadratic Functions
Horizontal Translation of Quadratic Functions
Vertical Reflection of Quadratic Functions
Vertex Form of Quadratic Functions
Factored Form of Quadratic Functions
Multiplying Polynomials
Special Product
Factoring Quadratic Equations
Factoring Quadratic Equations Advanced
Completing the Squares (Part 1)
Completing the Square (Part 2)
Maximum and Minimum of Quadratic Functions
Solving Quadratic Equations Through Factoring
Solving Quadratic Equations
Let's Sketch a Graph!
Determining Quadratic Equation when Given Roots and a Point
Analytics Geometry
Line Segments
Median and Centroid of a Triangle
Adjacent, Supplementary, Opposite, and Complementary Angles
Alternate Corresponding and Co-interior Angles
Congruent and Similar Figures
Inverse of Sine, Cosine, and Tangent