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प्रश्न
Solve for x and give your answer correct to 2 decimal places:
x2 + 7x = 7
बेरीज
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उत्तर
Given: x2 + 7x = 7
Step-wise calculation:
1. Rearrange: x2 + 7x – 7 = 0.
2. Use the quadratic formula `x = (-b ± sqrt((b^2 - 4ac)))/(2a)` with a = 1, b = 7, c = –7:
`x = (-7 ± sqrt((49 - 4 xx 1 xx (-7))))/2`
= `(-7 ± sqrt(77))/2`
3. Numerical values: `sqrt(77) ≈ 8.774964387`
`x_1 = (-7 + 8.774964387)/2`
= 0.8874821937...
= 0.89 ...(To 2 d.p.)
`x_2 = (-7 - 8.774964387)/2`
= –7.8874821937...
= –7.89 ...(To 2 d.p.)
x = 0.89 or x = –7.89 correct to 2 decimal places.
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