Ravi Kant Kumar

Write the Discriminant of the Quadratic Equation (x + 5)² = 2(5x − 3) Write the Discriminant of the Quadratic Equation (x + 5)² = 2(5x − 3) Question Write the discriminant of the following quadratic equation: \[ (x+5)^2=2(5x-3) \] Solution First, simplify the equation: \[ x^2+10x+25=10x-6 \] \[ x^2+31=0 \] \[ a=1,\quad b=0,\quad c=31 […]

Write the Discriminant of the Quadratic Equation x² − x + 1 = 0 Write the Discriminant of the Quadratic Equation x² − x + 1 = 0 Question Write the discriminant of the following quadratic equation: \[ x^2-x+1=0 \] Solution \[ a=1,\quad b=-1,\quad c=1 \] Using the formula, \[ D=b^2-4ac \] Substituting the values,

Write the Discriminant of the Quadratic Equation √3x² + 2√2x − 2√3 = 0 Write the Discriminant of the Quadratic Equation √3x² + 2√2x − 2√3 = 0 Question Write the discriminant of the following quadratic equation: \[ \sqrt3x^2+2\sqrt2x-2\sqrt3=0 \] Solution \[ a=\sqrt3,\quad b=2\sqrt2,\quad c=-2\sqrt3 \] Using the formula, \[ D=b^2-4ac \] Substituting the values,

Write the Discriminant of the Quadratic Equation x² − 2x + k = 0 Write the Discriminant of the Quadratic Equation x² − 2x + k = 0 Question Write the discriminant of the following quadratic equation: \[ x^2-2x+k=0,\quad k\in R \] Solution \[ a=1,\quad b=-2,\quad c=k \] Using the formula, \[ D=b^2-4ac \] Substituting

Write the Discriminant of the Quadratic Equation (x − 1)(2x − 1) = 0 Write the Discriminant of the Quadratic Equation (x − 1)(2x − 1) = 0 Question Write the discriminant of the following quadratic equation: \[ (x-1)(2x-1)=0 \] Solution First, expand the equation: \[ 2x^2-3x+1=0 \] \[ a=2,\quad b=-3,\quad c=1 \] Using the

Write the Discriminant of the Quadratic Equation x² + 2x + 4 = 0 Write the Discriminant of the Quadratic Equation x² + 2x + 4 = 0 Question Write the discriminant of the following quadratic equation: \[ x^2+2x+4=0 \] Solution \[ a=1,\quad b=2,\quad c=4 \] Using the formula, \[ D=b^2-4ac \] Substituting the values,

RD Sharma Chapter 4 : Quadratic Equation – Exercise 4.5 Solutions (Step-by-Step Guide) Write the discriminant of the following quadratic equations:    (i) 2x² − 5x + 3 = 0 Watch Solution    (ii) x² + 2x + 4 = 0 Watch Solution    (iii) (x − 1)(2x − 1) = 0 Watch Solution   (iv)

Find the Roots of x² − 4ax + 4a² − b² = 0 by Completing the Square Find the Roots of x² − 4ax + 4a² − b² = 0 by Completing the Square Question Find the roots of the quadratic equation by the method of completing the square: \[ x^2-4ax+4a^2-b^2=0 \] Solution \[ x^2-4ax=b^2-4a^2

Write the Discriminant of the Quadratic Equation 2x² − 5x + 3 = 0 Write the Discriminant of the Quadratic Equation 2x² − 5x + 3 = 0 Question Write the discriminant of the following quadratic equation: \[ 2x^2-5x+3=0 \] Solution \[ a=2,\quad b=-5,\quad c=3 \] Using the formula, \[ D=b^2-4ac \] Substituting the values,

Find the Roots of x² − (√2 + 1)x + √2 = 0 by Completing the Square Find the Roots of x² − (√2 + 1)x + √2 = 0 by Completing the Square Question Find the roots of the quadratic equation by the method of completing the square: \[ x^2-(\sqrt2+1)x+\sqrt2=0 \] Solution \[ x^2-(\sqrt2+1)x=-\sqrt2