Elena stared at the clock on the wall of Exam Hall 4. 9:02 AM. She had 58 minutes left.
The invigilator called time.
She turned the page.
was the killer. The one that separated the A from the B. The function ( p(x) = x^4 - 8x^2 + 16 ). Find all real roots. Hence solve the inequality ( p(x) < 0 ). She factorised: let ( u = x^2 ). Then ( u^2 - 8u + 16 = (u-4)^2 ). So ( p(x) = (x^2 - 4)^2 = (x-2)^2 (x+2)^2 ).
One down.
Never. A square of a real number is always ( \geq 0 ). The only time it equals zero is at the roots. So no real ( x ) satisfies ( p(x) < 0 ).
As she walked out, she thought: That wasn't a test. That was a rite of passage.
Core Pure -as - Year 1- Unit Test 5 Algebra And Functions
Elena stared at the clock on the wall of Exam Hall 4. 9:02 AM. She had 58 minutes left.
The invigilator called time.
She turned the page.
was the killer. The one that separated the A from the B. The function ( p(x) = x^4 - 8x^2 + 16 ). Find all real roots. Hence solve the inequality ( p(x) < 0 ). She factorised: let ( u = x^2 ). Then ( u^2 - 8u + 16 = (u-4)^2 ). So ( p(x) = (x^2 - 4)^2 = (x-2)^2 (x+2)^2 ).
One down.
Never. A square of a real number is always ( \geq 0 ). The only time it equals zero is at the roots. So no real ( x ) satisfies ( p(x) < 0 ).
As she walked out, she thought: That wasn't a test. That was a rite of passage.
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