Maharashtra Board Solutions for Chapter: Quadratic Equations, Exercise 1: Practice Set

Write the following equations in the form $a{x}^2+bx+c=0,$ then write the values of $a, b, c$ for each equation.

$x^2+5x=-(3-x)$

Write the following equations in the form $a{x}^2+bx+c=0,$ then write the values of $a, b, c$ for each equation.

$3m^2=2m^2-9$

Write the following equations in the form $a{x}^2+bx+c=0,$ then write the values of $a, b, c$ for each equation.

$p(3+6p)=-5$

Write the following equations in the form $a{x}^2+bx+c=0,$ then write the values of $a, b, c$ for equation.

$x^2-9=13$

Determine whether the values given against the quadratic equation are the roots of the equation.

$x^2+4x-5=0; x=1, -1$

Determine whether the values given against the quadratic equation are the roots of the equation.

$2m^2-5m=0; m=2, \frac{5}{2}$

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

One of the roots of equation $5m^2+2m+k=0$ is $\frac{-7}{5}.$ Complete the following activity to find the value of ${}^{\text{'}}k^{\text{'}}$.