It is given that k is a root of the quadratic equation x +x+c= 0. (a) Express c in terms of k. (b) Find the other root of the equation.

Q: 17 %3D 4. Solve the quadratic equation x + 4

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Q: Find all real solutions of the equation. 3 + 5z + z2 = 0

A: The given equation is 3+5z+z2=0

Q: value(s)

A: Please refer to the image below

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: 4. Find the value(s) of b in the quadratic equation x² + bx + 1 = 0 such that it has one solution.

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Q: Find all real solutions of the equation 7n2=28.

A: Consider the given equation.

Q: given that g(x)=3x^2 +5x+10 and its asking to solve with g(p+3).

A: First we write the given function and then we put the value (x+3) in place of x.

Q: For what values of k the equation           -x2 + 2kx - 4 = 0 has one real solution?

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Q: 13. Solve for A and B. - 7x +8 A B %3D 3x +x-2 3x-2 x+1

A:

Q: The roots of the equation x2+(m-2)x+4m-6=0 are x1 and x2. So: what is x,2 + x2² = ? at least?

A: Solution: The objective is to find x12+x22

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A:

Q: The monthly revenue in dollars from the sale of "x" units of a certain colon cancer drug is given…

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Q: Find the value of p for which the roots of the equation px(x-2)+6=0 are equal

A: Given the equation px(x-2)+6=0. We need to find the value of p for which the roots of the equation…

Q: The solutions of the equation 4 = x + 8 are x = 3 and x = -4. Determine the value of m. x+m

A: The root of an equation must satisfy the equation. If x=a is the root of the equation f(x)=0, then…

Q: Find the quadratic equation given two roots using x^2 - (r + s)x + (r ⋅ s) = 0 1. 4 and 5 2. 6 and…

A: topic - quadratic equations

Q: The interval notation for the solution x' – 2x² +3x x² – 4 >0 İs -

A: An inequality is greater than zero, if numerator and denominator in combination outputs the result…

Q: Solve for all solutions over [0,2pi): 2Cos(2x)-1 =0

A: The given equation in the interval [0, 2pi) is

Q: find the all solutions of eguation 2-lo2+25 =-1+3i

A:

Q: Find the value(s) of k that will cause the equation 4x2-kx+4=0 to have one real solution.

A: It is given that,4x2-kx+4=0 to have one real solution.We have to find the value of k.

Q: 4. For what value of b will the quadratic equation 16x? + bx + 9 = 0 have one root?

A: Given a quadratic equation 16x2+bx+9=0 and we have to find the value of b so that the equation have…

Q: Find k such that the equation kx2 + x + k = 0 has a repeatedreal solution

A: Consider the provided equation, kx2+x+k=0 Find the value of k of the provided equation has a reacted…

Q: Solve the following equation by the quadratic formula. x2 + 3x - 1= 0 3+V13 X= 2 -3+V5 X= 2 3+v5 2…

A: For a quadratic equation:                                     ax2+bx+c=0 The solution is of this…

Q: Q5 Solve the following second order equations 1. 2x2-2ix-5 0 2. x2 - 2x +5 0

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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: Show how to solve this equation algebraically: 3y – 5y – (2 – 3y) = 8y + -5y + 14

A: topic - equation in one variable

Q: Given:

A: Given, F→(x, y, z)=xy, x2, z2 and C  is the positively oriented curve that is the intersection of…

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: X’’ − 2x’ + x = 7et Use the method of undetermined coefficients to solve the IVP with x(0) = 0 and…

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Q: Q2 :Given that the equation x² – kx + 8 = 0 where k ER has one of the solutions is %3D x = 2 - j2.…

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Q: Thursday Solve for c 1. y = mx + c Friday Solve 1. -3c - 32 = -2(5 – 4c)

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Q: Find the quadratic equation given two roots using x^2 - (r + s)x + (r ⋅ s) = 0 1. 3 and 7 2. 4 and…

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Q: Find β such that the equation βx 2 + x + β = 0 has a repeated real solution.

A:

Q: 43. Given that r is a root of the quadratic equation x² - 3x - 5 = 0, find the value of 2r² – 6r +…

A: Given: r is a root of quadratic equation x2-3x-5=0. To determine: Value of 2r2-6r+1

Q: Solve the following quadratic equation for all values of x in simplest form. 2(x2 – 6) + 8 = 10 -

A: Simplification

Q: 4. The Quadratic equation whose roots are 1 and %. c. 2x-3x+1-0 a. 2x +x- 1- 0 b. 2x-3x -1 0 d. 2x…

A: Hello, thanks for the question. We’ll answer the first question since the exact one wasn’t…

Q: (4) Find B such that the equation ßx² + x + ß : 0 has a repeated real solution.

A: Question no..4 Note : the equation has a repeated real solution, if the discriminant is 0.

Q: Find the general solution of t²x' - xt = 2x²2 for t > 0

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Q: Find all real solutions of the equation.

A: Given 1+x+1-x=2 To find all the real solutions, 1+x+1-x=2 Squaring on both sides, 1+x+1-x2=22…

Q: A company involved in the export of trucks has estimated that the profit (U) in millions of dollars…

A: Given: The profit U in million of dollars depends on "n" number of containers expoterd by the…

Q: 2. The solutions of the equation 4 = x + 8 are x = 3 and x = -4. Determine the value of m. x+m

A:

Q: (4) Find B such that the equation ßx² + x + B = 0 has a repeated real solution.

A:

Q: Given that where a > b solve for x in terms of a and b: b(x + 5) > ax + 8b

A: An inequality is an expression involving the symbols ≤,≥,>,< . It is used to compare two…

Q: 8. What is the value of p that will make the roots of the equation 4x - px - x +4 = 0 equal?

A:

Q: Find k such that the equation x2 - kx + 4 = 0 has a repeated real solution.

A: Given x2-kx+4=0 has repeated real solution. Repeated real solution means the roots are real and…

Q: 4) Solve the equation for "x". Answer to be in degrees. 2sec (x)- 5 = 7

A: Given: 2sec2x-5=7

Q: solve the sysyem of equations using the method of your choice 2x+12y=30 x+6y=15   (is this an…

A:

Q: For what values of k will the quadratic equation x2 + kx+ 16 = 0 have two equal real roots?

A: The values of k are, - 8 & 8.

Q: the larger root of the equation (x+4)(x-3)=0 is

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.