Explain why the equation x + 6x? + 2 = 0 has no rational roots.

Q: y3-y²-12y бy2-54

A: We have to solve  γ3-γ2-12γ6γ2-54.

Q: What is the solution to 3x- 2x + 4 0 ?

A:

Q: Solve for the roots of the rational algebraic equation +1. x + 1 x - 2 4- 2.

A: To solve for the roots of the rational algebraic equation.2x-2=4x+1+1

Q: 7. Explain how you know that 5x12 + x+ + 9x² < 0 has no real solutions.

A:

Q: What is the discriminant of the quadratic equation 9x? + 5x – 9 = 0? -

A:

Q: Find all rational roots of the equation. 147x-98x 2+ 27x - 18 = 0 3

A:

Q: 8x³y² 4y2+20y

A:

Q: Show how to solve the equation /2x +1– 4= -1.

A: As per the instruction, we will be answering the first question. We need to solve the following.…

Q: x2 + 6x +1 = 0

A: Given:x2 + 6x + 1 = 0To determine the value of x.

Q: If 2x = 3, what does 4-x equal?

A: Definition used -                         a-m=1am                         amn=(am)n…

Q: Does the equation 3.2x° – 53.4x = 0.015x – 43 have any root that is not an algebraic number? Justify…

A: Given that 3.2x6-53.4x=0.015x3-43 The equation can be written as, 3.2x6 -53.4x=0.015x3-433.2x6…

Q: 3x"+2x*-12=D0

A:

Q: When do I get rid of proposed solutions in rational equations?

A:

Q: Explain why the equation 2^x = −2 has no solution.

A: Given equation is,

Q: Find the rational roots of equation x³+3x²-14x+8

A: Given equation is: x3+3x2-14x+8=0 We have to find the rational root of the above equation.

Q: = =x +2 4

A: given: x4=25x+2 given equation can be written as x4=2x5+2

Q: The most efficient technique for solving x2 + 5x - 10 = 0 is by using_________.

A: given: the expression is x2+5x-10=0 the above equation can be written as:…

Q: (10x-19) (3r + 2) (5x-3)

A: We will use the exterior angle property of a triangle that states that an exterior angle is equal to…

Q: How many solutions does x 3 - 4x + 8 = 0 have?

A: Given expression is x3-4x+8=0

Q: ZX-3 + メナ x+4 t/

A: A detailed solution is given below

Q: 2 + 2x-4 5 3 4. x+3 x-2

A: An expression become zero only if the numerator of the expression is zero. So to solve the given…

Q: Find the rational roots of equation  2x³-12x²+22x-12

A: Given equation is           2x3-12x2+22x-12

Q: write the rational expression in lowest term. 2x+3/10x2+21x+9

A: Given rational expression is,

Q: What is the solution of the equation 2x + 13 – 5 =x

A: Given 2x+13-5=xAdd 5 on both side2x+13=x+5Squaring on both side2x+13=(x+5)2 2x+13=x2+10x+25Subtarct…

Q: In(7x – 1)= In(3x + 7)

A: I am going to solve the given problem by using some simple algebra to get the required result.

Q: Reduce the  rational expression to lowest terms (x2 - 2x) / (3x - 6)

A: Given rational expression is: x2-2x3x-6

Q: Consider -x = 3 4. Which is the solution?

A: The variable of an algebraic equation is usually denoted as x. Consider the equation: 4x=7. The…

Q: how do I solve 4x/5-7=x/2+2 for x?

A: The given equation is

Q: solve the equation for x 12x^3+5x^2-2x=0

A:

Q: How would you simplify:  3x/cube root of 3x^2

A: Given expression is

Q: Explain why x° +3x² +1=0 has no real roots (no solution).

A:

Q: 1. x+2)x + 3x + 7

A: Here we will perform the division-

Q: Solve for the value of “x" -x 102 = |15 -3x 2х -3

A: Expand the determinant, then find the polynomial for x and find roots as in next step.

Q: for 1b of this question, could you explain why why all the solutions of the original equation are…

A: It is provided that the original equation is (x2+y2-1)2+4y2-1=0 and the corresponding polar equation…

Q: -33/(x2 - 3x) = -3/(x - 3) + 6/x

A:

Q: The square root of the sum of two consecutive even integer is 7V2. What are the integers?

A: Given, the square root of the sum of two consecutive even integers is 72. We have to find the…

Q: How do I solve an equation using the zero-factor property?

A: First factor the given equation with right side equal to 0. Then set each factor equal to 0 using…

Q: Use the IVT to show that the equation: x5 + 2x3 +3x- 4 = 0 has a solution.

A: Intermediate value theorem states that if f(x) is continuous in [a, b] and and f(a)*f(b)&lt;0, that…

Q: what are the solutions to the equation x^2=4x + 21

A:

Q: 2. +3x+ 2 = 0

A: We have to find

Q: Another of your friends claims that the quadratic formula can be used to solve the equation x2 - 9 =…

A: Given that, x2-9=0   As we know that, The general form of the Quadratic equation is, ax2+bx+c=0 Then…

Q: Consider x + 5 = x + 8. Which is the solution?

A:

Q: Solve x-3x -x² - 27x-90%30 by finding al roots.

A:

Q: Provide an example of a fractional algebraic equation expressed in the quadratic equation. After…

A: To given an example of a fractional algebraic equation expressed in the quadratic equation.

Q: -4 = ニ 200

A: To solve for x using the the given equation.

Q: Should I check irrational solutions by substitution in the given quadratic equation 2x2 - 6x + 1 =…

A:

Q: Determine the nature of the solutions of the equation. x2 + 4x + 8 = 0

A: The discriminant of a quadratic equation ax2+bx+c=0 is calculated by the expression D=b2-4ac. If…

Q: 95 Solve for x. (7x – 4)- (3x + 23). (9x – 6)-

A: We know that, Total interior of a polygon = (n-2)*180 where n is the number of sides. According to…

Q: What are the real solutions of the equation x3 + 5 = 4x2 + x?

A:

Q: Solve the Rational Equation  5x/8  -9 = x

A: Given the rational equation.