Given: x2 7x=7 On multiplying both sides by x, we get: nbsp;x2 ndash; 7 = 7x = gt;x2 ndash; 7 ndash; 7x = 0 = gt; x2 ndash; 7x ndash; 7 = ...

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Standard X

Mathematics

Arithmetic Progression

x 2-7 x=7

Question

$\frac{x^{2} - 7}{x} = 7$

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Solution

Given: $\frac{x^{2} - 7}{x} = 7$
On multiplying both sides by x, we get:
x² – 7 = 7x
=>x² – 7 – 7x = 0
=> x²– 7x – 7 = 0
Thus, the standardised form of the given quadratic equation is x² – 7x – 7 = 0.
On comparing this equation with ax² + bx + c = 0 in variable x, we get:
a = 1, b = –7 and c = –7

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x2-7x=7

Given: x2-7x=7 On multiplying both sides by x, we get: x2 – 7 = 7x =>x2 – 7 – 7x = 0 => x2 – 7x – 7 = 0 Thus, the standardised form of the given quadratic equation is x2 – 7x – 7 = 0. On comparing this equation with ax2 + bx + c = 0 in variable x, we get: a = 1, b = –7 and c = –7

$\frac{x^{2} - 7}{x} = 7$