Questions and Answers
What is the value of x if 2x^2 - 5x + 3 = 0?
x = 1 or x = 1.5
If $f(x) = 3x^2 - 7x + 2$, what are the x-coordinates of the turning points of the graph of f?
x = 1 and x = 2
What is the value of y when x = 2 in the equation $y = 4x^2 - 3x + 5$?
y = 17
If the perimeter of a rectangle is 30 cm and its length is 3 times its width, what are the dimensions of the rectangle?
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What is the solution to the equation $2^{x+1} = 16$?
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Study Notes
Quadratic Equations
- A quadratic equation is given: 2x^2 - 5x + 3 = 0, where the value of x needs to be found.
Function Analysis
- A quadratic function is defined: f(x) = 3x^2 - 7x + 2, and its turning points need to be found.
- The x-coordinates of the turning points of the graph of f need to be determined.
Quadratic Expressions
- A quadratic expression is given: y = 4x^2 - 3x + 5, and the value of y needs to be found when x = 2.
Geometry
- A rectangle has a perimeter of 30 cm, and its length is 3 times its width, which means its dimensions need to be found.
Exponential Equations
- An exponential equation is given: 2^{x+1} = 16, and the solution to this equation needs to be found.
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