The given function 8x^2+8x-22 rewritten using the completing the square method is (x+1/2)^2 = 3
<h3>Completing the square method</h3>
By altering the equation's form so that the left side is a perfect square trinomial, a quadratic equation can be solved using the "Completing the Square" approach.
Given the quadratic equation below;
8x^2+8x-22 = 0
This can be simplified into the equation below;
8x^2+8x-22 = 0
4x^2+4x-11 = 0
Add 11 to both sides of the equation
4x^2+4x-11 + 11= 0 + 11
4x^2+4x = 11
Factor out 4x from the expression;
4(x^2+1) = 11
(x+1/2)^2 = 11/4 + 1/4
(x+1/2)^2 = 12/4
(x+1/2)^2 = 3
Hence the expression in the form of (x-p)^2=q is (x+1/2)^2 = 3
Learn more on completing the square here: brainly.com/question/13981588
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Answer:
5^8
Step-by-step explanation:
Diego added the exponents. This was an error. If he was simplifying
5^2 × 5^4, then he could add the exponents and get a correct answer. But his problem had a power raised to a power. In this case, you multiply the exponents to simplify.
(5^2)^4 means
5^2×5^2×5^2×5^2
which is
5×5×5×5×5×5×5×5
which is 5^8.
1. equation A is multiplied by -2, yah, right form
turns to -2y=-30+4z
2. wrong, yo didn't distribute the -2 at all, it just dissaperaed, who taught that student how to do math?
after this, all steps are wrong because step 2 is wrong
error in step 2
Answer:
(x² - 8x + 16) = (x-4) (x-4)
Step-by-step explanation:
We have to factorize the given expression
(x²-8x+16)
(x² - 8x + 16 ) = x² - 2(4x) + 4²
= ( x-4)²
[As we know (a-b)² = a² + b² - 2ab]
so (x² - 8x + 16) = (x-4) (x-4) is the factored form of the given expression.
The number that lies between that is 7
