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nata0808 [166]
3 years ago
13

Manipulate the quadratic equation x² - 6 = 5x so the equation

Mathematics
2 answers:
NNADVOKAT [17]3 years ago
6 0
X^2-6-5x=0
x^2-5x-6=0
x^2-6x+1x-6=0
x(x-6)+1(x-6)=0
(x-6)(x+1)=0
x-6=0
x=0+6
x=6
x+1=0
x=0-1
x=-1
Option C
zheka24 [161]3 years ago
3 0

Answer:

answer B:  x = -1 and x = 6

Step-by-step explanation:

Rewrite x² - 6 = 5x as x² - 5x - 6  = 0, which is in standard form for a quadratic.

Factoring by grouping results in  x^2 - 6x + 1x - 6. pr

                                                       x(x - 6) + 1(x - 6) = 0.  

This simplifies to (x - 6)(x + 1) = 0, whose solutions are x = 6 and x = -1.

This corresponds to given answer B:  x = -1 and x = 6

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