The equation xʻ-4x² +px² +4x+q=0 has two pairs of equal roots. Find the values of p and q.

Q: If 4x -100 = 0, the roots of the equation are (1) -25 and 25 (2) -25,only (3) -5 and 5 (4) -5 only…

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Q: Solve for x, if ∠1 = (4x+40)   and ∠2 =  (6x-20)

A: Consider

Q: Solve the equation x3 - 17x + 4 = 0 given that 4 is a root.

A: Given that x=4 is a root. So (x-4) is a factor. So, we will use synthetic division to find the other…

Q: List the solutions of the equation: 0 =-2x2 + 19x + 8

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Q: Construct an equation whose roots are lees than 4 of the roots of x^3+3x^2-12x-10=0

A: Answer

Q: Construct an equation whose roots are the reciprocal of the roots of 2x +4x -10x-5=0

A: Consider a cubic equation ax3+bx2+cx+d=0 where a≠0 and assuming α,β and γ are roots of equation then…

Q: Solve for x. 3x -2xº 2x²f امر4 5xº 41°

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Q: Find the roots of the algebraic equation x + 10x² + 41x + 50 =

A: Given, the equation                             x3+10x2+41x+50=0

Q: Determine the nature of the roots of each quadratic equation using only the discriminant (DO NOT…

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Q: Solve the equation x' – 3x – 9x-5=0, given that it has two equal roots.

A: Answer

Q: Write the guadratic equation whose rootsS are –6 and 2, and whose leading coefficient Is (Use the…

A: Solution: Given roots -6 and 2, and the leading coefficient is 1

Q: The equation x-7x²+ 14x² +2x-20=0 has how many roots?

A: we have to apply properties of polynomials to solve the question

Q: Find the number of roots for the equation. 5x4 + 12x³ – x² + 3x + 5 = 0

A: As we know that the number of roots is equal to the highest power of the polynomial.

Q: Determine the roots of each equation. 7. 2x* – 3x³ – 3x+2=0 -

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Q: Solve for the unknown. 2x2- 2x = 8

A: We can equate two exponents having same base . In an expression if we have same base with different…

Q: Find all solutions to the equation |5-3x| -2 +x = 2x + 5

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Q: Solve by the method of your choice. {4x=5y-2 {8x=5-7y

A: Solve by the method of your choice. {4x=5y-2 {8x=5-7y

Q: Approximate the positive root of the equationƒ(x) = x2 - 2 = 0.

A: Given: f(x)=x2-2 x2-2=0 To find: The positive root of the equation.

Q: Which value of x is a solution to this equation? 2x2 – 4x – 16 = 0 - -

A: Given,           2x2-4x-16=0

Q: Solve for the unknown. 2x2-2x =8

A: Given: 2x2-2x=8 for solving this make both side base same, then power also be same

Q: solve for the value of x: 10z-3=7z+9

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Q: Determine the real root of the equation y=x- 4x2– 12x –6 to the nearest thousandth

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Q: Solve for the roots  3x3-11x2+5x+3

A: We have to find the roots of the polynomial 3x3−11x2+5x+3. For the roots of the polynomial, solve…

Q: Solve for the roots   4x2-5x-2

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

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

Q: find all solutions to the equation secx=-4

A:

Q: 2· 2* . 4x+2 x+2

A: The expression provided is 2·2x·4x+22x+22. The objective is to write the expression as a power of 2.…

Q: Solve for x. (3x - 63) A - C. (2x + 2)

A: We have to find x

Q: Solve for x^2 - 7x = -13

A: Given: x2-7x=-13 That is x2-7x+13=0 Recall: For a quadratic equation ax2+b7x+c=0 x=-b±b2-4ac2a

Q: Solve for the roots 3x2-5x+2

A: Solution :-

Q: Find all the roots of the equation. 4x* - 24x +57x? +18x-45 = 0 if one root is 3 +i6.

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Q: Write a quadratic equation in standard form with the given equation. -7,3/4 Not Graded

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Q: The equation x - 4kx + 10 – 6k = 0 will have two equal roots if the value of k is:

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Q: solve the equation x^3-3x^2-9x-5=0 given that it has two equal roots

A: The given equation is                               x3-3x2-9x-5=0 Now we solve this for x .…

Q: The equation of whose roots are the reciprocal of the roots of 2x² - 3x-5 = 0 is?

A: We know that if α, β are the roots of the equation ax2+bx+c = 0, then the equation with roots 1α, 1β…

Q: Determine the nature of the solutions of the equation. x + 2x + 10 = 0

A: The given quadratic equation is x2+2x+10=0. Compare the given quadratic equation with the general…

Q: List the solutions of the equation: 0 = -x² + 20x + 3

A:

Q: Where do I start when solving for x in this equation:…

A: We have4[ 2x - ( x + 3 )] = 6 (x - 9)4(2x -x -3) = 6 (x - 9)4( x - 3) = 6 (x - 9)

Q: Find the sum of the squares and sum of the squares of reciprocals of roots of equation…

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Q: Solve for the value of x: 3x-1 + x+2 =  - 3x                                          5          2…

A: Given equation is:

Q: Find all real solutions of the equation, rounded to two decimals. x4 = 16 - x3

A: Given equation is, x4=16-x3. The objective is to determine all real solutions of x that satisfy…

Q: The equation x10 – 10x2+5 = 0 has a root in (0, 1) Select one:

A: The given equation is x10-10x2+5 =0  and the given interval is 0, 1. Let f(x) be continuous function…

Q: "solve by making the appropriate solution" x4-2x2-8=0

A: We have to factor -8 so that sum of the factors =-2-8=-4 times 2And -4+2=-2So we write -2x^2 as…

Q: 2. Solve the equation x-3x-9x-5=0, given that it has two equal roots.

A: to solve the given equation

Q: What is the number of real roots of the equation 2x + 3x =- 4?

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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: Solve for the value of x:  √2x+5 - √x+3=2

A: Given:

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.