Quadratic equation hacks using the discriminant Solve x^2- 4x+ 5 using a discriminant: Discriminant is: Discriminant = b^2- 4ac Discriminant =...
your classmate asserted that x^2 - 4x - 12 and 12 - 4x - x^2 has the same factors is your classmate correct Factor x^2 - 4x - 12 using binomials:...
difference between 2 positive numbers is 3 and the sum of their squares is 117 Declare variables for each of the two numbers: Let the first...
x squared plus a minus b x squared means we raise x to the power of 2: x^2 Plus a: x^2 + a Minus b: x^2 + a - b
Divide 73 into two parts whose product is 40 Our first part is x Our second part is 73 - x The product of the two parts is: x(73 - x) = 40...
If the speed of an aeroplane is reduced by 40km/hr, it takes 20 minutes more to cover 1200m. Find the time taken by aeroplane to cover 1200m...
A 3 hour river cruise goes 15 km upstream and then back again. The river has a current of 2 km an hour. What is the boat's speed and how long was...
if a number is added to its square, it equals 20. Let the number be an arbitrary variable, let's call it n. The square of the number means we...
Sum of a number and it's reciprocal is 6. What is the number? Let the number be n. The reciprocal is 1/n. The word is means an equation, so we...
One number is equal to the square of another. Find the numbers if both are positive and their sum is 650 Let the number be n. Then the square is...
if a number is added to its square, the result is 72. find the number. Let the number be n. We're given: n + n^2 = 72 Subtract 72 from each...
a rectangle has an area of 238 cm 2 and a perimeter of 62 cm. What are its dimensions? We know the rectangle has the following formulas: Area =...
When 28 is subtracted from the square of a number, the result is 3 times the number. Find the negative solution. Let the number be n. Square of...
Sam and Jeremy have ages that are consecutive odd integers. The product of their ages is 783. Which equation could be used to find Jeremy's age,...
If 7 times the square of an integer is added to 5 times the integer, the result is 2. Find the integer. Let the integer be "x". Square the...
When 4 is subtracted from the square of a number, the result is 3 times the number. Find the positive solution. Let the number be n. We have: n^2...
The Square of a positive integer is equal to the sum of the integer and 12. Find the integer Let the integer be x. The sum of the integer and 12...
Pleasantburg has a population growth model of P(t)=at^2+bt+P0 where P0 is the initial population. Suppose that the future population of...
When 3 consecutive positive integers are multiplied, the product is 16 times the sum of the 3 integers. What is the difference of the product...
If x2 is added to x, the sum is 42. x^2 + x = 42 Subtract 42 from both sides: x^2 + x - 42 = 0 We have a quadratic equation. Using our...
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