31. question (plzz only write correct answer no explanation req. it is only for my confirmation)
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Answered by
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The value of x = 11/2,8.
Explanation:
3(x - 4)(x - 7) + 3(x - 6)(x - 5) = 10(x - 5)(x - 7)
3(x^2 - 7x - 4x + 28) + 3(x^2 - 5x - 6x + 30) = 10(x^2 - 7x - 5x + 35)
3(x^2 - 11x + 28) + 3(x^2 - 11x + 30) = 10(x^2 - 12x + 35)
3x^2 - 33x + 84 + 3x^2 - 33x + 90 = 10x^2 - 120x + 350
6x^2 - 66x + 174 = 10x^2 - 120x + 350
6x^2 + 54x - 176 = 10x^2
-4x^2 + 54x - 176 = 0
2x^2 - 27x + 88 = 0
2x^2 - 16x - 11x + 88 = 0
2x(x - 8) - 11(x - 8) = 0
(2x - 11)(x - 8) = 0
x = 11/2 (or) x = 8
Hope this helps!
Explanation:
3(x - 4)(x - 7) + 3(x - 6)(x - 5) = 10(x - 5)(x - 7)
3(x^2 - 7x - 4x + 28) + 3(x^2 - 5x - 6x + 30) = 10(x^2 - 7x - 5x + 35)
3(x^2 - 11x + 28) + 3(x^2 - 11x + 30) = 10(x^2 - 12x + 35)
3x^2 - 33x + 84 + 3x^2 - 33x + 90 = 10x^2 - 120x + 350
6x^2 - 66x + 174 = 10x^2 - 120x + 350
6x^2 + 54x - 176 = 10x^2
-4x^2 + 54x - 176 = 0
2x^2 - 27x + 88 = 0
2x^2 - 16x - 11x + 88 = 0
2x(x - 8) - 11(x - 8) = 0
(2x - 11)(x - 8) = 0
x = 11/2 (or) x = 8
Hope this helps!
yash847:
plzz check again
Answered by
1
I hope my soln will clear your confusion
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