In this question, x^y stands for x raised to the power y. For example, 2^3=8 and 4^1.5=8. If a,b are real numbers such that a+b=3, a^2+b^2=7, the value of a^4+b^4 is?
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a^4+b^4=77
Step-by-step explanation:
- a+b=3
- squaring on both sides
- a^2+b^2+2ab=9
- (a^2+b^2=7)
- 7+2ab=9
- 2ab=2
- A4+b4+2a2b2=81
- a^4+b^4+(2ab)(2ab)=81
- a4+b4=81-4
- a4+b4=77
bro using exponents was so I directly put the number. please adjust. thank you hope it helps you.
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