Embibe Experts Solutions for Exercise 1: Maharashtra Board-2018

Find the value of $k$, if $x=3$ is a root of the equation $k{x}^2-10x+3=0$.

Complete the following activity to form a quadratic equation.
Activity:

Construct a word problem on quadratic equation, such that one of its answers is $20$ (years, rupees, centimetre etc.). Also solve it.

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

Find the values of $a$ and $b$ from the quadratic equation $2x^2-5x+7=0$.

Solve the quadratic equation by factorisation method:

$x^2-15x+54=0$

The sum of the areas of two squares is $400 sq.m.$ If the difference between their perimeters is $16m$, find the sides of two squares

A dealer sells a toy for $₹24$ and gains as much percent as the cost price of the toy. Find the cost price of the toy.