Which of these equations has two real roots: Select one: O a x2 - 4x + 4 =0 O b. x2 - 10x + 100 = 0 O c. x2 - x + 5 =0

Q: Which of these equations has two real roots: Select one: O a. x2-4x + 4 =0 O b. x2 - 10x + 100 = 0 O…

A:

Q: (D² +4D + 4)y = 0

A:

Q: How many real solutions are there to the equation |2x – 3|+ |5 – 2x| = 2? Select one: а. 1 С. 2 d. 3…

A: We will use basic of set theory to solve this question.

Q: If the roots of the equation a(b - c)x² +b(c - a)x + c (a - b) = 2 11 are equal, show that ==±+:

A: We can use properties of square of three no. To solve the problem

Q: Solve for w, where w is a real number. √6w-3=√8w-15

A:

Q: Find all the zeroes of the equation. 27x – 324 = -x* O-3, -61 03, 6i 03, -3, 6i, –6i 03, -3, 6i, 0

A:

Q: If x = 2 is one of the roots of P(x) = bx? – 12x + 4, find b.

A:

Q: 2. Solve each equation. Identify any extraneous roots: a) (x+3)2 – 1=X -1= x b) V3x +13 = X +5 c)…

A:

Q: Solve the equation - 5 + x + 3 x + 1 8. x – 1 x2 + 2x – 3 - List all valid solutions, separated by…

A: This question can be solved using the concept of solving equations having rational function.

Q: Nhat are the solutions of the following equation? D--x² +21x-98 O Ax= -14 and X=7 O B.x= - 49 and…

A: -x2+21x-98=0

Q: Find all real solutions of the equation.

A: Our Aim is to find all the real solution of the equation given below:-x+1x2 +4x+1x+3=0 -(i)

Q: How many positive real roots are there in the equation 7x+5x+3x³+x=0? a. 2 b. 0 c. 3 d. 1

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: If the sum of the roots of the equation 1/(x+ a) + 1/(x + b) = 1/c is zero, then prove that the…

A:

Q: If the roots of the equation a(b - c)x² +b(c - a)x + c (a - b)=0 2 _ 1 ,1. are equal, show that а с

A:

Q: Which of the following equations has both 2 and -4 as solutions? O a.x2+6x + 8 = 0 O b. x2-2x-8 = 0…

A: If b  is a solution of the polynomial p(x) then (x-b) is a factor of p(x).

Q: Describe the roots of the equation 7x2 – 6x + 12 = 0 | O real and unequal imaginary O real and equal…

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

Q: Which of the following equations have the correct solution? Select all that apply. 2x + 5 = 19; x =…

A: Substitution property of Equality:     If the values of two quantities are known to be equal, you…

Q: The roots, to the nearest hundredth, of y-72x- 33 Ix+ 18.3 are

A: For the solution follow the next step.

Q: solve the following equations in the designated way(only the real solutions).  Algebraically: x3 -…

A: The given equation is,

Q: Find all integer roots of the following equation: x4 – 2x3 – 21x? + 22x + 40 = 0. - -

A: The given equation is x4-2x3-21x2+22x+40=0.

Q: If the roots of the equation a(b-c)x² + b(c-a)x+ c(a - b) = 0 are equal, show that 2/b = 1/a + 1/c.

A:

Q: For which values of k will the equation ×^2-5×-k=0 have equal roots

A: Consider the given equation. x2-5x-k=0 For the equal the root of the equation, the discriminant will…

Q: Find the real soulutions of the following equation x^(4)+12x^(3)+10x^(2)-9x+22=0 The solution set…

A:

Q: For what value of k does the equation kx2 -4x + k = 0 has two equal real roots?

A: Given, kx²-4x+k=0 a=k b=-4 c=k

Q: Find the solutions to the equation: 0 = 5x° + 3x – 425x - 255x + 1620x + 972 | (Write your answer as…

A: The given polynomial is: P(x)=5x5+3x4-425x3-255x2+1620x+972

Q: How many positive real roots are there in the equation 7x²+5x+3x²+x=0? a. 2 b. 0 C 3 a. 144 b.…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: solve each equation for the indicated variable. x2 + ax + bx + ab = 0 for x

A: given: x2 + ax + bx + ab = 0

Q: Determine which of the following equations is true.

A:

Q: Find the value of each of a,b,c so that 6x3 − 7x2 − x + 2 = (x − 1)(ax2 + bx + c)

A: Given equation is : 6x3-7x2-x+2=x-1ax2+bx+c To find the value a, b, and c

Q: Determine the roots of each equation Y= x^2 + 9x + 3 Y = 3x^2 + 24x - 6

A: The objective of the question is determine the roots of the given equations.

Q: If a + ß and o² = 5a - 3 and ² = 53-3, find the equation whose roots are alß and B/a.

A:

Q: Use the discriminant to determine all values of k which would result in the the equation -2x? + kæ –…

A: -2x2+kx-18

Q: Regardless of what real numbers I substitute for x and y, I will always obtain zero when evaluating…

A: We have given expression 2x2y-2yx2   The result of this expression always zero for any real numbers.…

Q: Let r, r, and r, be the roots of x’ +3x² –5x-4=0, construct the equation whose roots are: 7 (r, +r,…

A:

Q: Which shows all of the solutions of the equation x 16 %3D 121 4 11 O z = +

A: To find- Solutions of the given equation.

Q: If the sum of the roots of the equation 1/(x + a) + 1/(x + b) 1/c is zero, then prove that the…

A: Given that if the sum of the roots of the equation                   1x+a+1x+b=1c, is zero. To prove…

Q: How many and what type of solutions does the following equation have? f(x) = x² - 2x + 18 O no roots

A: We can find the answer as below.

Q: In the equation x +x = 0, one root is equal to -1 O 1/4 O 5 01

A: solution

Q: Q2 Solve the following (Lind x valuel 0/2x-3/=7 /2x-3171 O Answer with true or false @if /2x-51I…

A:

Q: Solve for x. 9x+25 = 30x %3D If there is more than one solution, separate them with commas. If there…

A:

Q: Without solving for the roots, determine the sum and product of the roots of the following…

A:

Q: Solve for the value of x in the given equation, 5*2 125. %3D O x-1 Ox-2 Ox-3 O x = 5

A: Given  5^(x-2) = 125

Q: If a # B and o² = 5a - 3 and ß² = 5ß - 3, find the equation whose roots are alß and pla.

A:

Q: 6. Choose the correct answer. Which of the following equations has no real roots? O x² + 4x x² + 4x…

A:

Q: Find the equations with the following pairs of roots. 1. {2, 3} 2. {-3, 1} 3. {4, -2}

A: Use sum of roots and product of roots in the general equation. General equation, x2-(sum of roots)…

Q: If a and B are the roots of the equation x² - 3x + 4 = 0, the equation whose roots are a? + a + 1…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Compute the discriminant. Then determine the number and type of solutions of the given equation. x2…

A: The objective of the question is determine the discriminate , solutions of the given equation and…

Q: The sum of the roots of equation: -2x -10x-4=0 is إختر أحد الخيارات 1. 2 a o b O None of these -5 cO…

A: Find sum of roots of equation -2x2-10x-4=0

Q: Solve for x. (x-4)2 = 2x2 - 9x - 14  if there is more than one solution, separate them with commas.

A: To solve the given equation.