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(8x2 - 15x) - (x2 - 27x) = ax2 + bx If the equation above is...
SAT-math-test SAT math
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(8x2 - 15x) - (x2 - 27x) = ax2 + bx

If the equation above is true for all values of x, what is the value of b - a ?

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james_mark
Asked by james_markrep:713
School not set Nigeria
19 November 2020

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judziy
Judziy answeredrep:1.9K
University of Benin Nigeria
20 November 2020
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(8x2 - 15x) - (x2 - 27x) = ax2 + bx

8x2 - 15x - x2 + 27x = ax2 + bx

7x2 + 12x = ax2 + bx

since the equation is true for all values of x, we can compare the coefficient each terms.

Comparing the coefficient of x2,

a = 7

Similarly, if we compare the coefficient of x,

b = 12

Thus,

b - a = 12 - 7

= 5

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