Newbetuts

Why, in the rules regarding the discriminant determining whether roots are real or not, does it matter that the quadratic has real coefficients?

algebra-precalculus polynomials solution-verification quadratics

Prove that $\tan70^\circ - \tan50^\circ + \tan10^\circ = \sqrt{3}$

algebra-precalculus trigonometry

Extraneous solution from substituting in equations

algebra-precalculus

How to tell if a quartic equation has a multiple root.

algebra-precalculus polynomials roots

$\frac1{12}(\sin^2A+\sin^2B+\sin^2C)\leq \sin^2\frac12B\sin^2\frac12C+\sin^2\frac12C\sin^2\frac12A+\sin^2\frac12A\sin^2\frac12B$ for $A+B+C=180^\circ$

algebra-precalculus trigonometry inequality triangles

Show that the equation $a_1e^{\alpha_1x} + a_2e^{\alpha_2x} + \cdots + a_ne^{\alpha_nx} = 0$ has at most $n - 1$ real roots.

algebra-precalculus

Solutions to exp(x) + x = 2

algebra-precalculus

Determine the value of ${k}$ for quadratic roots

algebra-precalculus functions quadratics

What is the co-efficient of $x^3y^4z^5$ in the expansion of $(xy+yz+zx)^6$? [duplicate]

algebra-precalculus polynomials contest-math

Deriving two properties of clocks

algebra-precalculus

How many employees do I need to fill 33 positions? Real world problem

algebra-precalculus

Gambling game: What is the probability of eventually going broke

probability algebra-precalculus

Inequality for the combined resistance of two resistors connected in parallel

calculus algebra-precalculus inequality

General misconception about $\sqrt x$

algebra-precalculus soft-question arithmetic education

How to prove $\frac{1}{x}=\frac{1}{a}+\frac{1}{b}+\frac{1}{c}+2\sqrt{\frac{1}{ab}+\frac{1}{ac}+\frac{1}{bc}}$

algebra-precalculus rational-functions radicals

New posts in algebra-precalculus

Inequalities involving zeros of some functions (e.g., $\frac{\ln x}{x}$, $x\ln x$) [closed]

If $\log_35=a$ and $\log_54=b$, what is $\log_{60}70$?

Why is my value for the length of daylight wrong?

When $\sin x, \cos x$ are $\mathbb{Q}$-linear combinations of square roots

Prove maximum value of $(z-xy)(x-yz)(y-zx)$ is $\frac{1}{64}$ given $x,y,z \in (0,1)$

Why, in the rules regarding the discriminant determining whether roots are real or not, does it matter that the quadratic has real coefficients?

Prove that $\tan70^\circ - \tan50^\circ + \tan10^\circ = \sqrt{3}$

Extraneous solution from substituting in equations

How to tell if a quartic equation has a multiple root.

$\frac1{12}(\sin^2A+\sin^2B+\sin^2C)\leq \sin^2\frac12B\sin^2\frac12C+\sin^2\frac12C\sin^2\frac12A+\sin^2\frac12A\sin^2\frac12B$ for $A+B+C=180^\circ$

Show that the equation $a_1e^{\alpha_1x} + a_2e^{\alpha_2x} + \cdots + a_ne^{\alpha_nx} = 0$ has at most $n - 1$ real roots.

Solutions to exp(x) + x = 2

Determine the value of ${k}$ for quadratic roots

What is the co-efficient of $x^3y^4z^5$ in the expansion of $(xy+yz+zx)^6$? [duplicate]

Deriving two properties of clocks

How many employees do I need to fill 33 positions? Real world problem

Gambling game: What is the probability of eventually going broke

Inequality for the combined resistance of two resistors connected in parallel

General misconception about $\sqrt x$

How to prove $\frac{1}{x}=\frac{1}{a}+\frac{1}{b}+\frac{1}{c}+2\sqrt{\frac{1}{ab}+\frac{1}{ac}+\frac{1}{bc}}$