2a2
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Ah, what a lovely question! When you have 2a multiplied by a, you simply add the exponents of a together. So, 2a x a equals 2a^2. Just imagine those a's dancing together, creating a beautiful square of a's on your canvas. Happy multiplying, my friend!
The expression 2a x a can be simplified by multiplying the coefficients and the variables separately. Multiplying 2a by a gives 2a^2, where the coefficient 2 is multiplied by the coefficient 1 (implied) to give 2, and the variable a is multiplied by a to give a^2. Therefore, 2a x a simplifies to 2a^2.
Well, darling, 2a x a is simply 2a^2. It's like combining two a's and multiplying them together. So, there you have it, sweetie, 2a x a equals 2a squared.
Since you cannot multiply x by a, in the answer you get ax. 2a * 3x = 6ax
The height of an equilateral triangle is √3/2 x side_length. So for an equilateral triangle of side length 2a, the area is: area = 1/2 x base x height 1/2 x (2a) x (√3/2 x 2a) = √3 a2
x2=(4a)(a) x=√4a2 x=2a The geometric mean of a and 4a is 2a
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The quadratic formula originated from the concept of completing the square. let's take ax2 + bx + c = 0. To complete the square, solve for x. Subtract c. ax2 + bx = -c. Then divide by a [notice- if there is no a value, then a=1]. x2 + bx/a = -c/a. Add (b/2a)2 to both sides. x2 + bx/a + b2/4a2 = -c/a + b2/4a2 Factor/Reformat. (x + b/2a)2 = (b2-4ac) / 4a2 (x + b/2a)2 = [(b2-4ac) / 2a]2 Square-root both sides. x + b/2a = ± √(b2-4ac) / 2a Subtract b/2a. x = -b/2a ± √(b2-4ac) / 2a Combine terms. x = [-b ± √(b2-4ac)] / 2a