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3 years ago

X^2 + 5x - 24 = 0 How do I solve by factoring

Mathematics

1 answer:

tiny-mole [99]3 years ago

7 0

Answer:

x = -8 or x = 3

Step-by-step explanation:

To factor ax² + bx + c, use AC method.

a times c is 1 × -24 = -24.

Factors of ac (-24) that add up to b (5) are 8 and -3.

Divide by a and reduce: 8/1 and -3/1.

Therefore, the factors are x + 8 and x − 3.

x² + 5x − 24 = 0

(x + 8) (x − 3) = 0

x = -8 or 3

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2 years ago

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3 years ago

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3 years ago

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Snezhnost [94]

Answer: $x_1=6.73\\\\x_2=3.26$

Step-by-step explanation:

Given the following expression:

$(x-5)^2=3$

And knowing that:

$(a\±b)^2=a^2-2ab+b^2$

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$x^2-2(x)(5)+5^2=3\\\\x^2-10x+25=3$

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$x^2-10x+25-3=0\\\\x^2-10x+22=0$

Apply the Quadratic formula:

$x=\frac{-b\±\sqrt{b^2-4ac} }{2a}$

In this case:

$a=1\\b=-10\\c=22$

Substituting values into the Quadratic formula, we get:

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3 years ago