Question Type 5: Finding roots of quadratics by converting into vertex form and solving for square root Exercises

Solve the quadratic equation $2x^2 - 4x + 1 = 0$ by converting to vertex form.

Solve $4x^2 - 8x + 3 = 0$ by converting to vertex form and using square roots.

Find the roots of the quadratic equation $x^2 + 6x + 5 = 0$ by completing the square.

Find the roots of $x^2 + 4x + 7 = 0$ by completing the square and express them in simplest form.

Find the roots of $5x^2 + 20x + 15 = 0$ by completing the square.

Solve the equation $x^2 - 4x - 5 = 0$ by converting it into vertex form and using square roots.

Solve $3x^2 - 12x + 9 = 0$ by completing the square.

Solve $6x^2 - 36x + 54 = 0$ by converting into vertex form and using square roots.

Find the solutions of $2x^2 + 8x + 6 = 0$ by completing the square.

Find the roots of $4x^2 + 12x + 9 = 0$ by completing the square.

Find the solutions of $3x^2 + 18x + 27 = 0$ by completing the square.