Question

solve the following equation for |x^2-9|+|x^2-4|=5​

Answer 1

click

hope it help you

Answer 2

Answer:

x = 4.5

Step-by-step explanation:

|x^2-9| + |x^2-4| = 5

=> 2x - 9 + 2x - 4 = 5

=> ( 2x + 2x ) + { (-9) + (-4) } = 5

=> 4x + (-13) = 5

=> 4x - 13 = 5

=> 4x = 5 + 13 = 18

=> x = 18/4 = 4.5

Verification:-

=> |x^2-9| + |x^2-4| = 5

=> | 4.5^2 - 9 | + | 4.5^2 - 4| = 5

=> | 9-9 | + | 9-4 | = 5

=> 0 + 5 = 5

=> 5 = 5