The sum of a number and its square is 380. Write a quadratic equation that models this scenario using to represent the number. Solve the quadratic equation to find the numbers. The positive solution is The negative solution is

Q: find the quadratic equation that goes through the points (2,-4), (3,-4), (0,2)

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Q: State two different methods for solving a quadratic equation. Give an example of each. Explain why…

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

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Q: a rectangle with a length of 22 feet and an uknown width w has a perimeter of 74 feet. set up and…

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Q: Write an original word problem that can be solved using a linear equation. Then solve the problem.

A: Problem : Radhika purchases 10 chocolates while Damon purchases 15 chocolates and the shopkeeper…

Q:  how many solutions does the equation 5(x-2)=8+5x have? 

A: No solution would means that there  is no solution of the equation. That is It is impossible for…

Q: Write a quadratic equation with integer coefficients and the given numbers as solutions 3 and -3

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Q: which is the easiest way to solve for quadratic equations and why

A: There are various ways to solve a quadratic equation. for example we can solve quadratic equation…

Q: Jonny solved the quadratic equation. x^2 + 4 = 0 and found no solutions. Is he correct?Why or why…

A: Solution the equation

Q: Write a quadratic equation with integer coeffcients and the given numbers as solutions. Use x as the…

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Q: The longest side of a triangle is six more units than the shortest side. The third side is twice the…

A: Given query is to find the sides of the triangle.

Q: Write the quadratic equation whose roots are 1 and 2, and whose leading coefficient is 2. (Use the…

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Q: Write the quadratic equation whose roots are 6 and 1, and whose leading coefficient is 3.

A: Since the roots are 1 and 6. That means, x=1⇒x-1=0And,x=6⇒x-6=0 Therefore, a polynomial with leading…

Q: solve quadratic equation  5x^2+8x-4=0

A: To solve a quadratic equation, the middle term is split into 2 terms such that the sum of these…

Q: If you could only learn one approach to solving quadratic equations, discuss which of the approaches…

A: We know that, the quadratic equation is in the form of ax2+bx+c=0 where a,b,c are real numbers and…

Q: Write a quadratic equation whose roots are 3 and -6 and who leading coefficient is 3.

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Q: Solve the equation x2+10x=120x2+10x=120 ⓐ by completing the square ⓑ using the Quadratic Formula…

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Q: Write a quadratic equation with integer coefficients and the given numbers as solutions. (Use x as…

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Q: Solve quadratic equation 4h-squared-2h-5=0

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Q: set up an equation and solve each problem. Find two numbers whose sum is 6 and whose product is 2.

A: We have to convert the given algebraic statements to algebraic equations , then we can use…

Q: If the quadratic formula is used to solve 2x2 - 3x - 1 = 0, what are the solutions?

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Q: First determine whether the solutions of the quadratic equation are real or complex without solving…

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Q: How can I write a quadratic equation when I am given the vertex and another point of the graph?

A: Definition used -                    The vertex form of quadratic equation is given by -…

Q: Write the quadratic equation whose roots are 4 and 6, and whose leading coefficient is 2. (Use the…

A: Given Roots of quadratic equation are x=4 and x=6 and leading coefficient is 2 To find the quadratic…

Q: Write the quadratic equation whose roots are -3 and 4, and whose leading coefficient is 3, (Use the…

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Q: If using the method of completing the square to solve the quadratic equation 22 - 15z - 23 =0, which…

A: Given: x2-15x-23=0 We know that a2-2ab+b2=a-b2                                        ..1

Q: When a quadratic equation has a repeated solution, it is called a(n) _______  root or a root of…

A: When a quadratic equation has a repeated solution, it is called a(n) _______  root or a root of…

Q: solve. The sum of a number and its square is 90. Find the number.

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Q: Write an original word problem that can be solved using linear equation. Then solve the problem. a

A: Akshay has 2 pens, Pankaj has 3 pens, and both Akshay and Pankaj don't know how many pens Samantha…

Q: Write a quadratic equation in standard form that has solutions of 4 and -7.

A: Qudratic formation

Q: Write the quadratic equation whose roots are 3 and -4, and whose leading coefficients is 3.

A: We know, the quadratic equation whose roots are x1 and x2, and whose leading coefficient is a is…

Q: Brandon walks 3 miles at a certain speed and then he jogs 3 miles per hour faster for 9 miles. If…

A: Given that Brandon walks 3 miles at a certain speed and then jogs 3 miles per hour faster for 9…

Q: Write a quadratic equation with integer coefficients and the given numbers as solutions. (Use x as…

A: Quadratic equation are those equation in which highest power of the equation is 2 and it has two…

Q: Write a quadratic equation whose roots are 3 and -5. 4.

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Q: Solve the linear equation. 9x-6=-2+7x

A: Given 9x-6=-2+7x

Q: Explain: Write an original word problem that can be solved using a linear equation. Then solve the…

A: Definition used -          Linear equation -          The equation of a line is given by y= mx+b.…

Q: Two cyclist, 64 miles apart, start riding toward each other at the same time. One cycles 3 times as…

A: given: Two cyclist, 64 miles apart, start riding toward each other at the same time. One cycles 3…

Q: Write the quadratic equation whose roots are -4 and 2, and whose leading coefficient is 5.

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Q: Write a quadratic equation in general form whose solution set is {-3, 5}.

A: Given-3 , 5

Q: Give a quadratic equation whose solutions are x=1/2 and x=4

A: Solution: The objective is to find the quadratic equation

Q: When the solutions are going to be complex, which methods can be used to solve quadratic equations?…

A: When the solutions are going to be complex, formula methods can be used to solve quadratic equations…

Q: Discuss the solution set of the equation. 4 4,

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Q: Write a different equation with FOUR numbers whose sum equals 0, none of which are opposites. One…

A: 15+12-11-16 10+14-9-15

Q: Write the Quadratic equation with vertex (-1,-1) and thru (1,7)

A: Given: -

Q: Write the quadratic equation in standard form with the integer coefficients solution set {2/3,-4}

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Q: Solve the equation 5x2-12 = 252x.

A: We have to the equation: 5x2-12=252x Rewriting the given equation,…

Q: Solve quadratic equation. (3x - 4)2 = 16

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Q: When solving linear equations, how do we know when they have Many Solutions?

A: When we solving linear equations then our aim to be find all unknown variable . Now,  Assume we…

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.