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kupik [55]
3 years ago
9

Solve by factoring write the steps.

Mathematics
2 answers:
love history [14]3 years ago
5 0
<span><span><span><span>x^2</span>−<span>7x</span></span>+10</span>=0

</span>Step 1: Factor left side of equation.<span><span><span>
(<span>x−2</span>)</span><span>(<span>x−5</span>)</span></span>=0</span>
Step 2: Set factors equal to 0.<span><span><span>
x−2</span>=<span><span><span>0<span> or </span></span>x</span>−5</span></span>=0</span><span><span>
x=<span><span>2<span> or </span></span>x</span></span>=5</span>
Answer:   x=2 or x=5
LenaWriter [7]3 years ago
5 0
x^{2}  - 7x +10 = 0

The middle term should be factored in such a way that the sum of two numbers is -7x and their product is 10x2. These two factors are -5x and -2x. So re-writing the equation, we get:

x^{2}  - 5x - 2x +10 = 0

Taking common, we get:

x( x - 5) -2 (x-5)=0 \\  \\ &#10;(x-5)(x-2)=0

This means:
x - 5 = 0
⇒ x = 5

or

x - 2 = 0
⇒ x = 2

Therefore, the solution to the given equation are x = 2 and x = 5
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