Answer:
x = 6
Step-by-step explanation:
Given
6x² - 2x + 36 = 5x² + 10x ( subtract 5x² + 10x from both sides )
x² - 12x + 36 = 0 ← in standard form
This is a perfect square of the form
(x - a)² = x² - 2ax + a²
36 = 6² ⇒ a = 6 and 2ax = (2 × 6)x = 12x, hence
(x - 6)² = 0
x - 6 = 0 ⇒ x = 6
....................................................................
Answer:

first create a bracket:

then solve the first bracket:

then open the remaining bracket:

carryout the subtraction operation:

Answer:
a=11
Step-by-step explanation:
Let's solve your equation step-by-step.
√a+5=4
Solve Square Root.
√a+5=4
a+5=42(Square both sides)
a+5=16
a+5−5=16−5(Subtract 5 from both sides)
a=11
Check answers. (Plug them in to make sure they work.)
a=11(Works in original equation)
The area are in the ratio of the squares of corresponding sides.
That is 15^2 : 20^2 = 225:400
so the area of the smaller figure = (225/400) * 64
= 0.5625 * 64
= 36 cm^2 (answer)