Rewriting the equation as a quadratic equation equal to zero:
x^2 - x - 30 = 0
We need two numbers whose sum is -1 and whose product is -30. In this case, it would have to be 5 and -6. Therefore we can also write our equation in the factored form
(x + 5)(x - 6) = 0
Now we have a product of two expressions that is equal to zero, which means any x value that makes either (x + 5) or (x - 6) zero will make their product zero.
x + 5 = 0 => x = -5
x - 6 = 0 => x = 6
Therefore, our solutions are x = -5 and x = 6.
Answer:
Solutions: 
, 
Step-by-step explanation:
Given the quadratic equation, 2x² + 3x + 6 = 0, where a =2, b = 3, and c = 6:
Use the <u>quadratic equation</u> and substitute the values for a, b, and c to solve for the solutions:
, 
Therefore, the solutions to the given quadratic equation are:
, 
Answer:
equations:
7x + 4y = 27.35
4x + 5y = 18.75
Step-by-step explanation:
x = burgers
y = sodas
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7x + 4y = 27.35
4x + 5y = 18.75
Answer:
8.8k + 2.2
Step-by-step explanation:
Answer:
Hello! answer: 100
Step-by-step explanation:
25 + 55 = 80 180 - 80 = 109 therefore the answer is 100 HOPE THAT HELPS!
