If a quadraticequation has two distinct real roots, what does this say about its discriminant?

Q: How many zeros can a quadratic function have?

A: We have seen that a quadratic polynomial is of the form: fx=ax2+bx+c ,a≠0 We assume that a, b and c…

Q: Find the roots of 2x2-2(√2x) +1=0,If they  exist using quadratic formula

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Q: In the quadratic equation problem a student made a mistake in copying the coefficient of x² and got…

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

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Q: Determine the kind of this quadratic form,

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Q: Do you wholly agree with the statement that “the domain and range of a quadratic equation will be…

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Q: Find the area of a rectangle whose length and breadth are the roots of the quadratic equation x2…

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Q: If 3  4i is a solution of a quadratic equation with realcoefficients, then is also a solution of…

A: To solve the given problem.

Q: Find the quadratic polynomial if the zeroes of it are 2 and 1/3 respectively.

A: Find the quadratic polynomial

Q: The quotient rule for square roots states that if a and be are nonnegative and b doesn't equal…

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Q: Find the solutions of the quadratic by factoring. SHOW ALL OF YOUR WORK. 2.x-7x 15 = 0

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Q: By using the method of completing the square. Show that the equation 4x2 + 3x + 5 = 0 has no real…

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Q: Suppose f (x) = x² + 2x + 1. Find the vertex, vertical intercept, and x-intercepts of this quadratic…

A: The objective of the question is evaluate vertex , vertical intercept and  x-intercept.

Q: What is the largest value of the quadratic form 5x} – 3x; if x'x = 1?

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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: All quadratic functions will factor, so finding the zeros by graphing is not needed. True O False

A: This is not always happen.

Q: True or False If the discriminant of a quadratic equationis positive, then the equation has two…

A: Solution of an equation f(x)=0 is the value of x which when substituted in the equation satisfies…

Q: Find the roots of 2x2-2(sqrt2) x+1=0 , if they exist using quadratic formula

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Q: Find the rational roots of equation x³+3x²-14x+8

A: Given equation is: x3+3x2-14x+8=0 We have to find the rational root of the above equation.

Q: By using the method of completing the square , show that the equation 4x2+3x+5=0 has no real roots

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Q: Atraintravels adistance of 480kmatauniform speed.If the speed hadbeen 8km/hrless, Thenit wouldhave…

A: At first we have to create the equation according to the instructions given in question.

Q: If a quadratic function has zeros at and . What binomials must be used? (3x+1) and (3x– 5) or (x+ -)…

A: on using factoring binomials we get

Q: The quotient rule for square roots states that if a and b are nonnegative and b ≠ 0, then √a/b =…

A: The quotient rule for square roots states that if a and b are nonnegative and b ≠ 0, then

Q: Given a quadratic equation, what is the discriminant and what information does it provide about the…

A: Given: Let the quadratic equation be ax2+bx+c=0

Q: Find the area of a rectangle whose length and breadth are the roots of the quadratic equation…

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Q: If one of the zeroes of the quadratic polynomial f(x) = 4x2 - 8kx - 9 is equal in magnitude but…

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Q: By using the method of completing the square, show that the equation 4x2 +3x+5=0 has no real roots.

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Q: Is 3m+8=15 is quadratic?

A: Quadratic Equation: The Quadratic equation is defined as a polynomial whose highest degree is 2.…

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: Is √Ax²+Bx+C still a quadratic? Providing that there is a square root in the equation.

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Q: A certain quadratic function has the factors (2x−5) and (3x+4). What are the zeros of the function?

A: To find the zeros of the function we have to set the factors equal to 0, and then solve for x. Given…

Q: How is the quadratic formula derived?

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Q: Find the roots of 2x² – 2( v2x) +1=0,If they exist using quadratic formula -

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Q: If the age of Ali is bigger than Sara in which the addition of age of Ali and Sara is equal (24 +…

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Q: Suppose x=−3−9i  is a solution of a quadratic equation with real coefficients. Then another…

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Q: using the method of completing the square , show that the equation 4x2+3x+5=0 has no real roots

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Q: If the discriminant of a quadratic equation is 0, then the equation has

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Q: Compute the value of the discriminant and give the number of real solutions of the quadratic ed 5x…

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Q: Find the roots of 5x+2x+1=0_by using quadratic formula.

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Q: 16. Find the discriminant of x-4x + 6- 0.

A: This question is based on Quadratic equation.

Q: What is the largest value of the quadratic f

A: Here is the solution of the given problem.

Q: What is the largest possible value of the quadratic form 5x} + 8x} if x = (x1,x2) and x"x = 1, that…

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Q: The factors of this quadratic function: 212 +5x +3

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Q: If the discriminant of a quadratic equation is 2, then the equation has

A: The discriminant of a quadratic equation is given by b2-4ac We know that when the b2-4ac>0 then…

Q: If a and 3 are the roots of the quadratic 3x2 – 4x + 6 = 0, find the value of

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Q: Solve the quadratic for x: -4x2 – 15x + 4 = 0

A: Given,            -4x2-15x+4=0

Q: This equation is not quadratic, because it contains a term involving x³. However, we can solve it by…

A: The zeroes of a function in a variable are the values of the variable at which the value of the…