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 following quadratic equation : x^2 – x + 1 = 0 Read More »
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 following quadratic equation : √3x^2 + 2√2x – 2√3 = 0 Read More »
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 following quadratic equation : x^2 – 2x + k = 0, k ∈ R Read More »
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 following quadratic equation : (x – 1) (2x – 1) = 0 Read More »
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,
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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,
Write the discriminant of the following quadratic equation : 2x^2 – 5x + 3 = 0 Read More »
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
Find the Roots of √3x² + 10x + 7√3 = 0 by Completing the Square Find the Roots of the Quadratic Equation by Completing the Square: √3x² + 10x + 7√3 = 0 Question Find the roots of the quadratic equation by the method of completing the square: \[ \sqrt{3}x^2 + 10x + 7\sqrt{3} =