How do you solve for x in x^2+5x=36
2 answers:
Answer: (-9,4)
Step-by-step explanation: First, we set the equation equal to zero by subtracting 36 from both sides to get x² + 5x - 36 = 0.
Next, we factor the left side of the equation
as the product of two binomials.
Since the factors of -36 that add to +5 are +9 and -4,
we have (x + 9)(x - 4) = 0.
This means that either x + 9 = 0 or x - 4 = 0.
Solving each equation from here,
we have x = -9 or x = +4.
So your solution set is (-9,4).
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Answer:
a) (x³ -x² +x +2) +2/(x+1)
b) (x² +2x -5) +6/(x+3)
Step-by-step explanation:
Polynomial long division is virtually identical to numerical long division, except that the quotient term does not require any guessing. It is simply the ratio of the leading terms of the dividend and divisor. As with numerical long division, the product of the quotient term and the divisor is subtracted from the dividend to form the new dividend for the next step.
The process stops when the dividend is of lower degree than the divisor.
In part (a), you need to make sure the dividend expression has all of the powers of x present. This means terms 0x³ and 0x² must be added as placeholders in the given dividend. They will become important as the work progresses.
