twice the square of a number exceeds 4times they number by 30 find the number
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Step-by-step explanation:
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The number is 5 or -3
Step-by-step explanation:
Given,
Twice the square of a number exceeds 4 times the number by 30
To find
The number
Solution
Let the number be 'x'
Twice the square of a number = 2x²
Four times the number = 4x
Since Twice the square of a number exceeds 4 times the number by 30,
we have 2x² - 4x = 30
2x² - 4x - 30 = 0
x² - 2x - 15 = 0
(x-5)(x+3) = 0
x = 5, x=-3
∴ The number is 5 or -3
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