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$$(3 x+5)^{2} \leq-4$$
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Precalculus
Algebra
Chapter 11
Quadratic Equations, Inequalities, and Functions
Section 8
Polynomial and Rational Inequalities
Introduction to Conic Sections
Equations and Inequalities
Functions
Polynomials
Oregon State University
Harvey Mudd College
University of Michigan - Ann Arbor
Idaho State University
Lectures
01:32
In mathematics, the absolu…
01:11
01:29
Solve$x^{3}+5 x^{2}-25…
01:13
Solve.$(x+5)^{\frac{2}…
00:51
Solve$2 x^{3}+6 \leq 5…
01:23
Solve.$$\frac{1}{3…
01:05
Solve: $x^{2}-5=(x+3)(x-3)…
01:55
Solve. $$x^{2}-2 x \leq 3$…
01:36
$$\text { Solve: } x^{2}+3…
02:22
Solve: $x^{2}+3 x \leq 10$…
00:54
Solve.
$$x^{2}…
01:07
So we have three plus five x squared when we want to know when this is going to be less than or equal to negative four so we can do a lot of work here. But if we're pay attention on what's going on, we can save ourselves a little bit of time, because here's the thing right here I am squaring three plus five X, and whenever you square something, it's always gonna be positive. So if that is always positive, it will never be less than negative for okay, it can't happen. So this sentence right here, this expression is impossible. There are no values of X. It will make it true. So the solution set. It's simply going to be the empty set. Or you can write it like that or you can actually read it in words. The solution, said, is the empty set. There's no solution. In other words,
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In mathematics, the absolute value or modulus |x| of a real number x is its …
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$$\text { Solve: } x^{2}+3 x \leq 10$$
Solve: $x^{2}+3 x \leq 10$
$$x^{2}+5 x=-3$$
$$x^{2}=3 x+5$$
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00:41
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00:27
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03:39
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00:50
Give the domain and the range of each function. See Section 7.3.$$\{…
00:32
For an exponential function defined by $f(x)=a^{x},$ if $a>1,$ the graph …
00:11
Use the indicated rule of logarithms to complete each equation. See Examples…
00:21
04:11
Solve each inequality, and graph the solution set.$$ \frac{x+1}{x-5}…
00:12
Write in exponential form. See Example 1.$$\log _{9} 3=\frac{1}{2}
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