Question

Solve each quadratic equation by completing the square.
6x2 – 28x = - 16

Answer 1

There is no real solution

Explanation:

`6x^2-28x = - 16\\\\6x^2-28x + 16=0\\\\3x^2-7x+8=0\\\\9x^2-21x+24=0\\\\(3x)^2-2\cdot3x\cdot\frac72+(\frac72)^2-(\frac72)^2+24=0\\\\(3x-\frac72)^2-\frac{49}4+24=0\\\\(3x-\frac72)^2-12\frac{1}4+24=0\\\\(3x-\frac72)^2+12\frac{3}4=0\\\\(3x-\frac72)^2=-12\frac{3}4`