Examples of equations for high school - page 62 of 63
Number of problems found: 1251
- Diofant equation
In the set of integers (Z), solve the equation: 212x +316y =0 Write result with integer parameter t in Z (parameter t = ...-2,-1,0,1,2,3... if equation has infinitely many solutions) - Roots
Find the quadratic equation absolute coefficient q, that the equation has a real double root and the root x calculate: 5x ² +9x + q = 0 - Biquadratic
By introducing a new variable, solve the biquadratic equation: - x 4 +277 x² -15876=0 - Euler problem
Someone buys 300 tolars towels. If it were for the same money of 5 more towels, it would be 5 tolars cheaper each. How many were towels?
- Quadratic equation
Determine the numbers b and c that the numbers x1 = -7 and x2 = 5 were roots of the quadratic equation: -3x ² + b x + c = 0 - Exponential equation
In the set R, solve the equation: 7 -5 +19x=4 3 -20x - Secret number
Find the secret number n, which reversed decreases by 16.4 if the number increases by 16.4. - Seedcake
Seedcake costs 44 cents. How many minimum seedcakes must we buy that we can pay in cash, only whole euros? - Heron backlaw
Calculate the missing side in a triangle with sides 25 and 13 and area 152.
- Quadratic equation
Quadratic equation 7x²+bx+c=0 has roots x1 = 67 and x2 = -84. Calculate the coefficients b and c. - Demographics
The population grew in the city in 10 years from 30000 to 34000. What is the average annual percentage increase in population? - Compound interest
Calculate the time when the deposit in the bank with interest 2.6% p.a. doubles. - Right triangle
The legs of the right triangle are in the ratio a:b = 2:8. The hypotenuse has a length of 87 cm. Calculate the perimeter and area of the triangle. - Golden ratio
Divide the line of length 14 cm into two sections so that the ratio of shorter to greater is the same as the ratio of the greater section to the whole length of the line.
- Wind drift
The plane flies at 900 km/h, passing distance 1800 kilometers with the wind and once again against the wind for 4 h 1 min. What is the wind speed? - Radioactivity
After 548 hours decreases, the activity of a radioactive substance to 1/9 of the initial value. What is the half-life of the substance? - Exponential equation
Solve exponential equation (in real numbers): 23x-6=9 - Tangents
To circle with a radius of 41 cm from the point R guided two tangents. The distance of both points of contact is 16 cm. Calculate the distance from point R and circle center. - RT - hypotenuse and altitude
The right triangle BTG has hypotenuse g=117 m, and the altitude to g is 54 m. How long are hypotenuse segments?
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