Find the roots of the quadratic function f(x) = 2x2- 6x + 7 by the method of completing the square.

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

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Q: Z2-11xこX-

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Q: Find the roots of the quadratic equation x + 2x - 3 = 0.

A: We will find the root by two methods first by splitting the middle term and second by discriminant…

Q: Solve for the zeros of the quadratic function f(x) = 9x2 + 6x + 1. Write the answer as a fraction.…

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Q: Use the quadratic formnula to solve for x. 4x*+8x+1=0

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Q: Find a quadratic equation whose product of roots x₁ and X2 equal to 4 and satisfying the relation X₁…

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Q: 5x %3- 35х-15

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Q: Solve the quadratic by factoring. x - 4x =-4x +4

A: We have to solve the quadratic equation by factorization method: x2-4x=-4x+4 Rewriting the equation,…

Q: What is the discriminant and what information does it provide about a quadratic equation?

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Q: Solve for the range and axis of symmetry of the given quadratic functions

A: To Solve for the range and axis of symmetry of the given quadratic functions4) y=x2+5x-145)…

Q: If the discriminant of a quadratic equation is 4, then the equation has

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Q: find the equation of the quadratic function/equation. and

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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: Use the discriminant to determine the number and types of solutions of the quadratic equation. x2 -…

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Q: Find the roots of 2x quadratic equation - 2/x2 +1 = 0,if they exist using the

A: Given equation is 2x2-22x+1=0 find the roots of the quadratic equation

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

A: Given : -4X^2-15X+4 = 0

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

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Q: Find the equation of the quadratic function in factored form that has roots 3 and -1 and passes…

A: The standard form of the quadratic function is fx=ax2+bx+c, where x is a variable and a, b and c are…

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

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Q: Find the quadratic equation whose roots are (3-j5) and (2 + j4).

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Q: Find the equation of the quadratic function in factored form that has roots 3 and -1 and passes…

A: equation of quadratic function in factored form that has roots a and b is : y=C(x-a)(x-b) here C is…

Q: Solve the roots of the equation f(x)=-0.5x^2+2.5x+4.5 a.With the Graphical Method b.Using…

A: Here, we need to find the roots of the equation f(x)=-0.5x2+2.5x+4.5. For (a), Graphical Method:…

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

A: Suppose ax2+bx+c = 0 is a quadratic equation. The discriminant of the quadratic equation is b2-4ac.…

Q: A player kicks the ball, and it travels according to the quadratic equation h(x) - -16x+40x where h…

A: Given h(x) = -16x2+40x Then (a) h'(x) = -32x+40 To find the critical point , put h'(x)=0 Consider…

Q: Find the roots of the equation using the quadratic formula 7x² + 3x-1=0

A: The given equation is 7x2+3x-1=0. We have to find roots of the equation using quadratic formula.…

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

A: Given, -7x2-5x-3=0

Q: Find the standard equation for the quadratic function y = 3x² + 11x-4.

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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: The solutions of the quadratic equation x(x + 2) + 9 = 0 are

A: Given: x(x+2)+9=0 we can write: x2+2x+9=0 Formula: For the quadratic equation ax2+bx+c=0  x=-b…

Q: Use the discriminant to datermine the number and types of solutions of the quadratic equat -2x= - 3x…

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Q: Solve the attached equations  by the method of undeterminedcoefficients.

A: Given: d2ydx2-dydx=-8x+3.

Q: A company that manufactures handbags has determined that the dollar cost of producing handbags per…

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

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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: Find the value of a for which one root of the quadratic equation (a² − 5a +3)x² + (3a-1)x+2=0 is…

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

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Q: what are the steps to solve an equation of quadratic type:2X+9√X=5

A: Given,

Q: x2 + 4x =15 is a standard form of a quadratic equation?

A: Recall: Standard form of quadratic equation is  ax^2+bx+c=0.

Q: x2 - 2x- 15 = 0

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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: Compute the ralue of the discriminant and give the number of realSolutions of the quadratic…

A: we have to find the discriminant and the number of real solutions

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

A: The discriminant, D, of the quadratic equation: ax2+bx+c=0 is calculated using the formula:…

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

A: Given,            -4x2-15x+4=0

Q: Solve quadratic equation by completing the square. x2 + 4x + 1 = 0

A: Given: x2+4x+1 = 0 To solve: The given quadratic equation by completing the square.

Q: Find the quadratic equation whose roots are three times the roots of 3x2 +2x+3=0.

A: To find the quadratic equation whose roots are three times the roots of the quadratic…