#### Number of problems found: 91

• Completing square
Solve the quadratic equation: m2=4m+20 using completing the square method
Quadratic equation ? has roots x1 = -26 and x2 = -86. Calculate the coefficients b and c.
• EQ2
• Square Number
If to a square of integer number add 17, we get the square of the next integer number. What is the original number?
Write the equation of the quadratic function which includes points A (-1, 10), B (2, 19), C (1,4)
• Square
Suppose the square's sides' length decreases by a 25% decrease in the content area of 28 cm2. Determine the side length of the original square.
• Substitution method
Solve goniometric equation: sin4 θ - 1/cos2 θ=cos2 θ - 2
• Solve equation
solve equation: ?
• Factors
Can the expression ? be factored into rational factors?
• Root
The root of the equation ? is (equal or greater or less than zero)? ?
• Semicircle
To a semicircle with diameter 10 cm inscribe square. What is the length of square sides?
By introducing a new variable solve biquadratic equation: ?
• Rectangle vs square
One side of the rectangle is 1 cm shorter than the side of the square, the second side is 3 cm longer than the side of the square. Square and rectangle have the same content. Calculate the length of the sides of a square and a rectangle.
• Square side
If we enlarge the square side a = 5m, its area will increase by 10,25%. How many percent will the side of the square increase? How many percent will it increase the circumference of the square?
• Square vs rectangle
Square and rectangle have the same area contents. The length of the rectangle is 9 greater and width 6 less than side of the square. Calculate the side of a square.
• Square and rectangle
Calculate the side of a square which content area equals area of the rectangle having a length of 3 cm greater and by 2 cm smaller than the side of the square.
• Tiles
From how many tiles 20 cm by 30 cm we can build a square of maximum dimensions, if we have maximum 881 tiles.
• Time gone
Square of Richard age equals the age of his mother. When he will be two times older than his mom will be 7/2 times older than he. How old is Richard and his mom?

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