Consider the quadratic equation ax? - bx + c = 0, a, b, c e N. If the given equation has two distinct real roots belonging to the interval (1,2),show that a 2 5 and b> 11.Also, find the minimum value of c.

Q: Write the equation of a quadratic function with roots at -6 and -4, and a vertex at (0, -24). Write…

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Q: Determine b and c for the quadratic function f(x) = −x2 + bx + c where the y-intercept is 2 and it…

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Q: The product of the square of one number by the cube of the other number is to be maximum. Find the…

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Q: the standard form of a quadratic function is: y = Ax² + Bx + C Which way does the parabola open if…

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Q: Put the quadratic function into standard form

A: We have to write the standard form of the given quadratic function.

Q: Find the equation of the quadratic whose graph cuts the x-axis at 2 and -4 and which passes through…

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Q: Suppose the x-intercepts of a parabola are -1 and 5. Q) write a quadratic function with these…

A: Given query is to find the quadratic equation of with x intercepts.

Q: Find the quadratic function y= ax2 + bx + c whose graph passes through the given points.…

A: If a point lies on the graph, then it satisfies the equation of the graph. For example, the point…

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: Draw a quadratic function with a negative a-value and only 1 x-intercept.

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Q: Use geometry to show that (x2-y2)= (x+y) (x-y). Use a square in a square.

A: Consider the diagram:

Q: The quadratic equation y = - 0.4(x + 2)(x – 4) is in factored form. What are the x-intrecepts for…

A: We put y=0 and solve for x to get the x-intercepts.

Q: Determine a quadratic function in standard form that has roots x 3i and x -3i and also passes…

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Q: Find a possible formula for the quadratic function with a vertex of (6,7) and y-intercept -36. NOTE:…

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Q: Solve the following quadratic function to find the x-intercepts: f(x) = x² + 12x + 27 x = 4 and -3 x…

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Q: The quadratic equation y= ax + bx+c (a+0) can have at most one extreme value (local max or min) over…

A: Here given quadratic equation as y=ax2+bx+c Since we know the one extreme value of the quadratic…