Write the quadratic equation `7=4x-x^(2)` in the form of `ax^(2)+bx+c=0`

Write the following equatratic equations in the form ax^(2)+bx+c=0 . Write the value of a, b, c, for each equation. x^(2)-9=13

Write the following equatratic equations in the form ax^(2)+bx+c=0 . Write the value of a, b, c, for each equation. x^(2)+5x=-(3-x)

Write the following equatratic equations in the form ax^(2)+bx+c=0 . Write the value of a, b, c, for each equation. (x-1)^(2)=2x+3

Statement-1: If alpha and beta are real roots of the quadratic equations ax^(2) + bx + c = 0 and -ax^(2) + bx + c = 0 , then (a)/(2) x^(2) + bx + c = 0 has a real root between alpha and beta Statement-2: If f(x) is a real polynomial and x_(1), x_(2) in R such that f(x_(1)) f_(x_(2)) lt 0 , then f(x) = 0 has at leat one real root between x_(1) and x_(2) .

Write the following quadratic equation in a standard form 2x(x+7) + 5=0

Compare the quadratic equation 13sqrt3x^(2)+10x+sqrt(3)=0 with ax^(2)+bx+c=0 and find the value of the discriminant. Hence, write the nature of the roots.

If the quadratic equation x^(2) +ax +b =0 and x^(2) +bx +a =0 (a ne b) have a common root, the find the numeical value of a +b.

if alpha& beta are the roots of the quadratic equation ax^(2)+bx+c=0, then the quadratic equation ax^(2)-bx(x-1)+c(x-1)^(2)=0 has roots

The quadratic equation ax^(2)+bx+c=0 has real roots if: