Determine Whether 2x² + 5√3x + 6 = 0 Has Real Roots and Find the Roots Determine Whether 2x² + 5√3x + 6 = 0 Has Real Roots and Find the Roots Question Determine whether the given quadratic equation has real roots and if so, find the roots: \[ 2x^2+5\sqrt3x+6=0 \] Solution \[ a=2,\quad b=5\sqrt3,\quad […]
Determine Whether x² − 2x + 1 = 0 Has Real Roots and Find the Roots Determine Whether x² − 2x + 1 = 0 Has Real Roots and Find the Roots Question Determine whether the given quadratic equation has real roots and if so, find the roots: \[ x^2-2x+1=0 \] Solution \[ a=1,\quad b=-2,\quad
Determine Whether 3x² + 2√5x − 5 = 0 Has Real Roots and Find the Roots Determine Whether 3x² + 2√5x − 5 = 0 Has Real Roots and Find the Roots Question Determine whether the given quadratic equation has real roots and if so, find the roots: \[ 3x^2+2\sqrt5x-5=0 \] Solution \[ a=3,\quad b=2\sqrt5,\quad
Determine Whether 3a²x² + 8abx + 4b² = 0 Has Real Roots and Find the Roots Determine Whether 3a²x² + 8abx + 4b² = 0 Has Real Roots and Find the Roots Question Determine whether the given quadratic equation has real roots and if so, find the roots: \[ 3a^2x^2+8abx+4b^2=0,\quad a\ne0 \] Solution \[ A=3a^2,\quad
Determine Whether 2x² − 2√6x + 3 = 0 Has Real Roots and Find the Roots Determine Whether 2x² − 2√6x + 3 = 0 Has Real Roots and Find the Roots Question Determine whether the given quadratic equation has real roots and if so, find the roots: \[ 2x^2-2\sqrt6x+3=0 \] Solution \[ a=2,\quad b=-2\sqrt6,\quad
Determine Whether 3x² − 2x + 2 = 0 Has Real Roots and Find the Roots Determine Whether 3x² − 2x + 2 = 0 Has Real Roots and Find the Roots Question Determine whether the given quadratic equation has real roots and if so, find the roots: \[ 3x^2-2x+2=0 \] Solution \[ a=3,\quad b=-2,\quad
Determine Whether √3x² + 10x − 8√3 = 0 Has Real Roots and Find the Roots Determine Whether √3x² + 10x − 8√3 = 0 Has Real Roots and Find the Roots Question Determine whether the given quadratic equation has real roots and if so, find the roots: \[ \sqrt3x^2+10x-8\sqrt3=0 \] Solution \[ a=\sqrt3,\quad b=10,\quad
Determine Whether x² + x + 2 = 0 Has Real Roots and Find the Roots Determine Whether x² + x + 2 = 0 Has Real Roots and Find the Roots Question Determine whether the given quadratic equation has real roots and if so, find the roots: \[ x^2+x+2=0 \] Solution \[ a=1,\quad b=1,\quad
Determine Whether 16x² = 24x + 1 Has Real Roots and Find the Roots Determine Whether 16x² = 24x + 1 Has Real Roots and Find the Roots Question Determine whether the given quadratic equation has real roots and if so, find the roots: \[ 16x^2=24x+1 \] Solution Write the equation in standard form: \[
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 following quadratic equation : (x + 5)^2 = 2(5x – 3) Read More »