If the roots of the equation ax²+bx +c = 0 be a and s and those of the equation b - 4ac Ax + Bx +C = 0 be a +k and ß+k, then is B - 4AC

Q: Show that the equation x+y* : integer. 100 has no solution when each of x and y is a positive

A: To show x4+y4= 100 has no solution when each of x and y is a positive integer.

Q: 5- 4=0

A: 4. xy'+1+xy=e-x Divide by x both side  y'+1+xxy=e-xx Given deferential equation is of the form…

Q: The product (x - 2)(x + 3) is positive if both factors are negative or if both factors are positive.…

A: x+4x-7>0

Q: Given the equation: x^2 + 6x + 8 = 0 Please rewrite the equation in the form: (x - h)^2 = k

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Q: If A = 1 -2 3 and B = 1 -2 4 L -4 2 5. 3 5 1 4 find A"B and (AB)". Show your solution.

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Q: If 1/2 is a root of the equation x2+kx-(5/4) = 0 , then find the value of k

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Q: If I am given two equations, 14x=6 and -9x=2 and am told to figure out if they are parallel how do I…

A: Explanation:The given equations 14x = 6 and −9x = 2 are observed to be the equations of vertical…

Q: When the positive integer a is divided by 5, the result is x with remainder 3. When twice a is…

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Q: If x^4+ax^2+bx+c= 0 has roots x=−1,2,and 3, find the values of a, b,and c, as well as the fourth…

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Q: Will these equations have the same solution? Choose true for yes, and false for no. 5 (x + 1) = 20…

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Q: 5- Solve the following linear algebraic equations using the Gauss elimination method: 3x, - 2x2 +…

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

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Q: Find the values that make the equations x1 + x2 + 3x3 = 3 x1 + 2x2 + 4x3 = 3 x1 + 3x2 + ax3 = b…

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Q: If a, b, c are integer powers of 2, prove that equation a³ + b* = c° does not have solution,…

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Q: If a, b, c are in GP, then the equations ax² + 2bx + c = 0 and dx² + 2ex + f = 0 have a common root…

A: Given a,b,c are in g.p So the ratio will be same ba=cbb2=acb=ac ---- {1}

Q: Sylvie needs $110 for a concert ticket. She already has $16 and she can earn the rest by working 10…

A: Sylvie needs $110 for a concert ticket. She already has $16.

Q: Solve by substitution : 2x - 3y = 4                                        2x + y = -4

A: We have to solve the equations by the substitution method.

Q: It is given that A = 4x +3 and B = 2x −3. Express 3A-2B in terms of x and simplify the expression.…

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Q: Suppose that your friend shows you the following solution to an equation. 17 = 4 - 2x ; 17 + 2x = 4…

A: Suppose that your friend shows you the following solution to an equation. 17 = 4 - 2x ; 17 + 2x = 4…

Q: 1. If the equation 3x2 + 4x + (2h-5) = 0, find h if the product of the roots is 4. Group of answer…

A: As per our guidelines we are supposed to answer only one question that is the question no. (1). For…

Q: The value of x such that 8x + 4, 6x – 2, 2x+7 will be consecutive terms in an AP is

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Q: if one root of the equation 7x^2+13x+n=0 is reciprocal of the other.what is the value of n

A: Let one root of the given equation be z  and other root is reciprocal the one root.So other root is…

Q: If -2 is a root of the equation x² + px - 6 = 0 and the equation x²- px + q = 0 and the equation x²-…

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Q: The solution of the following DE V-6x-0, )-5

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Q: If x2 + y2 = 16 and x-y 3, then what is x? If there are two possible answers, then enter the larger…

A: Given that      x2 + y2 = 16     and     x - y = 3 Here we have to find the value of x .

Q: If [x² - 2x + a] = 0 has no solution, then find the values of a

A: We have x2-2x+a=0⇒x2-2x+a∈[0, 1) Given that equation has no solution ⇒x2-2x+a∉[0, 1)

Q: The number of states that joined the United States between 1776 and 1849 is twice the number of…

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Q: From a.b = a.c it may be concluded that b = c. But this is just one of three possible solutions.…

A: topic - vectors other solutions are a=0 and a is perpendicular to b and c

Q: In order for the equation 5(2x+ ? ) =9x+15+x to have infinitely many solutions, which number goes in…

A: Given equation is : 5(2x+ ? ) =9x+15+x

Q: 7) (2-4)2x +

A: Consider dydx-p(x) y=q(x)Then IF=e∫p(x) dxThe General solution is y.(IF)=∫(IF×q(x))dx

Q: 1.) Thomas is 2 years more than twice the age of Peter, and the product of their ages is 24. Which…

A: 1). Let the age of Peter be x years. Thomas is 2 years more than twice the age of Peter. So, Thomas…

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: _1.) Thomas is 2 years more than twice the age of Peter, and the product of their ages is 24. Which…

A: let's age of peter is x years so, age of Thomas will be 2x+2 years so, product of there age will be…

Q: If a, b, c are integer powers of 2, prove that equation a³ + 64 = c does not have solution,…

A: Given,a,b,c are integers of the form 2k, k∈Na3+b4=c5

Q: quadratic equation

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Q: For what value of a, the equation (a - a - 2)x + (a² - 4)x+a² - 3a+2=0 will have more than two…

A: We need to find the value of a for which equation will have more than 2 solutions and identity.

Q: The product (x - 2)(x + 3) is positive if both factors are negative or if both factors are positive.…

A: Given: The inequation x-5x+8≤0, To find: The solution of the given inequation.

Q: Match each equation to the factors used to solve it, and to its solution. 1 12-z-42 = 0 Factors:…

A: According to guidelines we solve only first three parts.

Q: If the roots of equation x² - 2cx + ab = 0 are real and unequal, then prove that the roots of x²…

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Q: If a, b, c are in GP and the equation ax² +2bx+c= 0 and dx² +2ex+f=0 have a common root, then is it…

A: Given that a,b,c in G.P and the equation ax2+2bx+c=0 and dx2+2ex+f=0 have a common root.

Q: If a and B are the roots of equation 2x² - 35x +2=0, then the value of (2a-35)² (2b -35)² is- (A) 2…

A: Given Data: Equation: 2x2-35x+2=0 ......(1) Expression: (2a-35)² (2b -35)² ......(2) There are two…

Q: (4) Show that in general, the sum of the roots of a quadratic equation ax? + bx + c = 0 b is whereas…

A: The quadratic equation is given as ax2+bx+c=0 Its roots are given by x = -b±b2-4ac2a Hence its 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: Which of the equations shown will have infinitely many solutions? Select the TWO that apply. 3x-1 3z…

A: To find the solution, add 1-3x on both sides of the equation 3x-1=3x+1.…

Q: Formulate the following problem as a part of equations, and hence find theirsolution. 2 women and 5…

A: Given:Two women and five men can complete the embroidery work in 4 days, while 3 women and 6 men can…

Q: If 1 is one root of the equation kx⁴ + (2k + 5)x³ + (3 – k) = 0, then the value of k is   A. 1 B. -4…

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