Question

Solve$(2t-8{)}^2=-10$.

Short answer

The quadratic equation has no real solutions.

Step-by-step solution

Given Information.   

The Given equation is$(2t-8{)}^2=-10$.

Use the square root property.  

$2t-8=\pm \sqrt{-10}$

Since $\sqrt{-10}$is not a real number.

The equation has no real solutions.