Introduction to Quadratic Equations

Which of the following is not a Quadratic equation?

If one of the roots of the quadratic equation $x^2–7x+k=0$ is $4$, then find the value of $k$.

Which of the following is not a quadratic equation? 

The standard form of the quadratic equation $\frac{x+1}{2}=\frac{1}{x}$ is

Find the value of $\left(a-b\right)$ from the quadratic equation $2x^2 – 5x + 7 = 0$, by comparing it with the standard quadratic equation.

From the following equations, which one is the quadratic equation?

I.  \( 35x^4+369x^2+900=0 \)
II.  \( 144y^4+337y^2+144=0 \)

Check whether the equation $x+\frac{1}{x}+x^2, x\ne 0$ is quadratic?

Check whether the equation $x^2+3x+1=(x-2{)}^2$ is quadratic?

Check whether the equation, $(x+2{)}^3=x^3-4$ is quadratic?

Check, whether the equation $x(x+1)+8=(x+2)(x-2)$ is quadratic?

To fence a rectangular farm of 147 $m^2$ , 56 $m$ of fence has been used. Calculate the dimensions of the farm?

Two taps A and B fill a swimming pool together in 4 hours. Alone, it takes tap A six hours less than B to fill the same pool. How many hours does it take tap A to fill the pool separately?

The product of two consecutive negative integers is 1122. What is the least among these numbers?

The sum of the squares of two consecutive positive integers exceeds their product by 7. Find the smaller one?

Quantity I : Value of $x$ where $2x^2 - 11x + 15 = 0$

Quantity II : Value of $y$$$ where  $2y^2 -11y + 14 = 0$

The sum of two numbers is $\frac{3}{2}$ and their product is $-1$ Find the greatest among these numbers?

The product of two positive consecutive integers is 5 more than three times the larger. Find the greatest of these numbers.

Two natural numbers differ by four units and the sum of their squares is 80. What is the product of these two numbers?

One root of the quadratic equation $x^2-12x+p=0$ , is twice the other. Find the value of p ?