Solution of a Quadratic Equation

The sum of the complex roots of the equation $x^4-2x^3+x-380=0$ is

$a,b,c,d$ and $e$ are five consecutive odd numbers in which the value of $\left(b\times e\right) \text{is} 2295$ then what will be the average$?$

Find the solution of $7x^2+5\sqrt{3}x-6=0$

Find the roots of the polynomial: $3x^2-x-4$.

The sum of all the value of $m$ for which the roots $x_1$ and $x_2$ of the quadratic equation $x^2-2mx+m=0$ satisfy the condition ${x_1}^3+{x_2}^3={x_1}^2+{x_2}^2$, is

Find the sum of zeroes of the polynomial $p\left(x\right)=2x^2+8x-3$

What is the quadratic formula?

Solve:

$\frac{x^2}{15}-\frac{x}{3}-10=0$

The roots of the equation $x^2+x-p(p+1)=0$, where $p$ is constant, are

The sum of the all the values of $m$ for which the roots $x_1$ and $x_2$ of the quadratic equation $x^2-2mx+m=0$ satisfy the condition ${x_1}^3+{x_2}^3={x_1}^2+{x_2}^2$, is:

Solve the following quadratic equation.

$\sqrt{3}{x}^2+\sqrt{2}x-2\sqrt{3}=0$

$x^2+15x-3000=0$

Find the roots of quadratic equation $x^2+3x+2\sqrt{2}=0$.

$P$ is a prime and $n$ is a natural number such that $P+n=2000$. If the LCM of $P$ and $n$ is $21879$. Find $P$ and $n$.

Solve the following:

$3x^2-4x+5=0$

Find the roots of the equation $x^2-5x+4=0$

Find the roots of the equation $x^2-3x-4=0$

Find roots of equation $x^2-2x-8=0$

Sejal started a business where she sells earrings online. She made Rs$12000$ in sales in her first month. In the second month, when she decreased the price of her product by $Rs 20$, she sold $40$ more items and increased her total sales by$Rs 2000$ . At what price did she sell the earrings in the second month? Show your work.

Solve:$2(y^2-6y{)}^2-8(y^2-6y+3)-40=0$.