Answer:
Explanation:
To find the equation with the same solution as x^2-6x-12=0, we need to factorize the quadratic equation or use the quadratic formula to find the roots.
By factoring x^2-6x-12=0, we have (x-3)(x+2)=0.
So the solutions are x=3 and x=-2.
Now let's check which of the given equations has the same solutions:
(1) (x+10)^2=24
(2) (x+5)^2=24
(3) (x+5)^2 = 26
(4) (x+10)^2 = 26
By taking the square root of both sides, we have:
(1) x+10 = ±√24 → x = -10±2√6
(2) x+5 = ±√24 → x = -5±2√6
(3) x+5 = ±√26 → x = -5±√26
(4) x+10 = ±√26 → x = -10±√26
Comparing the solutions x=3 and x=-2 with the solutions obtained from each equation, we find that neither of the given equations has the same solutions as x^2-6x-12=0.
Therefore, none of the options (1), (2), (3), or (4) has the same solution as x^2-6x-12=0.