🧮 algebra

1. **State the problem:** Solve the equation $$y^4 - 17y^2 + 16 = 0$$ for $y$. 2. **Use substitution:** Let $z = y^2$. Then the equation becomes a quadratic in $z$:

1. **State the problem:** Find the equation of the hyperbola with foci at $(-2 - \sqrt{25}, 0)$ and $(-2 + \sqrt{25}, 0)$ and asymptotes $y = \frac{4}{3}x + \frac{8}{3}$ and $y = -

1. **State the problem:** Find the equation of the hyperbola with foci at $$\left(-2 - \sqrt{45}, 3\right)$$ and $$\left(-2 + \sqrt{45}, 3\right)$$ and asymptotes $$y = 2x + 7$$ an

1. **State the problem:** Solve the literal equation $$5kx + 6 = 7kx$$ for $$x$$. 2. **Write down the equation:** $$5kx + 6 = 7kx$$.

1. **State the problem:** Simplify the expression $$\frac{x^2 - 9}{x^2 + x - 6}$$. 2. **Recall the formula and rules:** To simplify a rational expression, factor both numerator and

1. **State the problem:** We are given the quadratic function $$y = x^2 - 4x + 3$$ and need to find the y-coordinate of its vertex. 2. **Formula for vertex:** The vertex of a parab

1. The problem is to solve the equation or expression given by the user. However, no specific equation or expression was provided. 2. To solve an equation, we typically isolate the

1. **Stating the problem:** We need to solve the algebraic expression or equation provided by the user. Since no specific problem was given, please provide the exact math problem y

1. The problem is to solve the equation or expression given by the user. However, no specific equation or expression was provided. 2. To solve an equation, we typically isolate the

1. **State the problem:** Simplify the expression $4(7x-3)-3(5x-4)$ by removing the brackets and combining like terms. 2. **Use the distributive property:** Multiply each term insi

1. **State the problem:** Simplify the expression $$\frac{x^2 - y^2 + 3x + 3y}{x - y + 3}$$. 2. **Recall the formula and rules:**

1. **State the problem:** Simplify the expression $$\frac{x^2 - y^2 + 3(x + y)}{\text{denominator}}$$. Since the denominator is not provided, we will focus on simplifying the numer

1. **State the problem:** Calculate the total monthly pay for a salesperson at Xara showroom who has a base salary of 3800 plus a commission of 3.6% on sales up to 80000 and 7.2% o

1. **State the problem:** Simplify the expression $$\frac{3x^2 + 9x^2 y^2}{3x^2 y}$$. 2. **Write the expression clearly:** $$\frac{3x^2 + 9x^2 y^2}{3x^2 y}$$.

1. Résoudre dans IR les expressions suivantes : **a) |3x-1| = |x+6|**

1. **State the problem:** Determine the domain and range of the function $$f(x) = \frac{1}{x^2 - 4}$$. 2. **Domain:** The domain consists of all real numbers $x$ for which the func

1. **State the problem:** We are given two functions $u(x) = 5x + 7$ and $v(x) = 5x + 7$. We need to find the composite functions $(u \circ v)(x)$ and $(v \circ u)(x)$. 2. **Recall

1. **State the problem:** Factor the trinomial $$3x^2 + 23x + 14$$. 2. **Recall the factoring formula:** For a quadratic trinomial $$ax^2 + bx + c$$, we look for two numbers that m

1. **State the problem:** Factor the trinomial $$2x^2 + 11x + 5$$. 2. **Recall the factoring formula:** For a quadratic trinomial $$ax^2 + bx + c$$, we look for two numbers that mu

1. The problem asks which color of the line represents a given equation. 2. To solve this, we need to identify the equation of each colored line and compare it to the given equatio

1. **Problem Statement:** Factor the trinomial $$3x^2 + 14x + 8$$. 2. **Formula and Rules:** To factor a quadratic trinomial of the form $$ax^2 + bx + c$$, we look for two numbers