Show that the equation e +-23D0 has no real root which is less than 1.

Q: If (x – 3)2 = 5, what values of x make the quadratic equation TRUE?

A: Here we have given a quadratic equation and we have to find out the value of variable x for which…

Q: Write the quadratic equation whose roots are -1 and 4, and whose leading coefficient is 1. (Use the…

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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: Find all real solutions of the equation.

A: x+5+x=5 Squaring on both sides, we get ⇒x+5+x2=52⇒x+5+x=25⇒x+5=25-x Again squaring on both sides, we…

Q: Q2) Solve the quadratic equation ax'+bx+c for a=1, b-D4, c-13 using -btvb2-4ac X1, X2X = 2a

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Q: 3. Solve for x in the picture below: 7x+4 5x X-4 4х - 3 x-7 Зх - 1 2x-9,

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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: Algebraically, solve for x: 2 4х — 12 x2-6x + 8 x – 4 ||

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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: What is the value of 'k' if the roots of the quadratic equation 2x*2 +kx +2=0 are equal?

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Q: + 3.x? – 5 b) x² -x+ 2

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Q: fa is a root of the equation 4x² + 2x - 1 = 0, then prove that ²3 is the other root

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Q: Solve the following equation algebraically. Explain your procesnj 0 = 18x++87x'+3x²-108x

A: Given equation is: 18x^4 + 87x^3 + 3x^2 - 108x = 0 Taking 3x as common term we get, 3x(6x^3 + 29x^2…

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

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Q: Show that the equation x2 + y2 = 2003 has no solutions in the integers.

A: Consider the given equation: Here the objective is to show that the above given equation has no…

Q: Write an equation with real coefficients that has roots 3, -3 and 2+4i

A: We have to find the equation

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: Find real solution if any using quadratic formula .  8x2  -x+4=0

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Q: 3. Solve Ą10 when 1 A = -1 3 1 - - 2

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Q: (b) Solve the equation 0=x- 3x-18. What extraneous root was introduced by multiplying by (x-6) on…

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Q: find the value of k if -5 is one of the roots of the quadratic equation x^2 - KX + 10 = 0​

A: We have to find the value of k if -5 is one of the roots of the quadratic equation x2 - kx + 10 = 0…

Q: show that the equation x^5+2x^3+3x-4=0 has exactly one root. Justify your answer.

A: Given equation has only one root. Here is its explanation.

Q: Find all real solutions of the equation. 7x3 - x + 1 = x3 + 3x2 + x

A: To find: The real solution of the equation: Given: The equation is 7x3-x+1=x3+3x2+x. Concept used:…

Q: Q3: Solve for x : |7-<1 3

A: Here  7-2x3&lt;1 We have to solve for x.

Q: 3x2+8 ン

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Q: Prove that the equation 2x2 + y² 14 has no positive integer solutions.

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Q: Show that the cubic equation 2x3−3x2−15=0 has a solution in the interval (2,3).

A: Cubic Equation: Let f(x)=2x3-3x2-15We need find that there is a solution between (2,3)

Q: Show that the sum of the roots of a quadratic equation is - b/a

A: To show that the sum of the roots of a quadratic equation is -ba.

Q: olo Compute the value of the discriminant and give the number of real solutions of the quadratic…

A: The discriminant, D , for the quadratic equation, is calculated using the formula, .

Q: Find all real solutions of the equation. x3 - 27 = 0

A: The equation is a statement that consists of an equal symbol between two algebraic expressions that…

Q: 5. Write an equation that would have infinitely man solutions with the equatio below: 5x + 3y-12

A: We have been given the equation  5x +3y - 12

Q: o Solve 4 -x²

A: on doing integration we get

Q: When shifting right or left in a quadratic equation which term in ax^2+bx+c would you use?

A: The quadratic equation is ax2+bx+c

Q: The square root of 2 is between which two integers

A: The square root of 2 is between which two integers

Q: Solve the following equation that is quadratic in form. X4-6x2+8=0

A: Use substitution

Q: Find all real solutions of the equation. 125t10 - 2t7 = 0

A: We have to find the real solution of the equation: 125t10-2t7=0 Solving equation by taking common…

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

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Q: The way to solve -7 < 3x – 4 < 5 is to isolate x in the

A: -7&lt;3x-4≤5Now add 4 on the three sides.-7+4&lt;3x-4+4≤5+4Now, divide the three sides by 3.

Q: Compute the value of the discriminant and give the number of real solutions of the quadratic…

A: Consider the given quadratic equation. 3x2-8x+2=0 The objective of the question is to find the…

Q: b) Solve algebraically for x: 54x = 125*-1

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Q: yo +2g' +2g = xl6-q)

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Q: (4) Find ß such that the equation Bx² + x + B = 0 has a repeated real solution.

A: General quadratic equation: ax2 +bx + c = 0 For repeated real roots : D = 0 D = b2 -4ac = 0

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: Find all real solutions of the equation (x – 3) = 9. and x2 = with x1 < 2

A: The solution is given below

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

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Q: What is the quadratic formula? Start with x=

A: Quadratic formula is used to find the solution if a quadratic equation of type ax2+bx+c=0.

Q: Which equations are quadratic? a) 21 - 5x + 3 = 0 b) * = + 4 c) x = 4 d) - - - 0 e) V2r - 1 = 3 f)…

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: 9 Solve the equation = x x = - 3 3x 7.

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Q: solve the equation for all real solutions in simplest form. 5qʻ + 15q + 5 = -6

A: Given equation 5q2+15q+5=-6 Solve the above equation, 5q2+15q+5+6=05q2+15q+11=0 Recall the quadratic…

Q: Find all real solutions of the equation.

A: Given: The equation is xx+3 =2x-3 -1x2-9 .

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.