Embibe Experts Solutions for Chapter: Quadratic Equations, Exercise 1: Karnataka Board-2018

Solve the equation $x^2-12x+27=0$  by using formula.

A dealer sells an article for $₹16$ and loses as much per cent as the cost price of the article. Find the cost price of the article.

The product of two consecutive positive integers is $30$. This can be expressed algebraically as

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

Find the value of the discriminant of the quadratic equation $2x^2-4x+3=0$.

Find the value of the determinant of the quadratic equation $2x^2-5x-1=0$, and hence write the nature of its roots.

The altitude of a triangle is $6 \mathrm{cm}$ more than its base. If its area is $108 {\mathrm{cm}}^2$, find the base and height of the triangle.

Solve the equation $x^2-x-2=0$ graphically.