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pentagon [3]
2 years ago
5

Find the solution(s), if any, of the given equation using quadratic formula: 6x2 – 30x = 36

Mathematics
1 answer:
xenn [34]2 years ago
5 0

Answer:

x = 6 and x = -1.

Step-by-step explanation:

The given equation is :

6x^2-30x=36\\\\6x^2-30x-36=0\\\\or\\\\x^2-5x-6=0

We can solve it using the middle term splitting method.

x^2-(6x-x)-6=0\\\\x^2-6x+x-6=0\\\\x(x-6)+1(x-6)=0\\\\(x-6)=0\ and\ (x+1)=0\\\\x=6\ and\ x=-1

So, the solutions are x = 6 and x = -1.

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Step-by-step explanation:

Use the Pythagorean theorem which is A²+B²=C².

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Because the hypotenuse is 2 feet longer than the missing leg we can plug in C=B+2 which would now make it 6²+B²=(B+2)².

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