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If \(\sqrt{a}+\sqrt{b}=5\sqrt2,\) and \(a\cdot b=144,\) what is the value of \(a+b?\)
Problem Solving
Re: If \(\sqrt{a}+\sqrt{b}=5\sqrt2,\) and \(a\cdot b=144,\) what is the value of \(a+b?\)
Squaring both sides,
a + b + 2root (ab)= 50
a + b + 2 root(144)= 50
a+b= 50-24 = 26
- by mathisfun
Sun Nov 29, 2020 11:01 am- Forum: Problem Solving
- Topic: If \(\sqrt{a}+\sqrt{b}=5\sqrt2,\) and \(a\cdot b=144,\) what is the value of \(a+b?\)
- Replies: 1
- Views: 392
Re: If \(x^2 + 3x + 3 = 5x + 6\) then \(x\) equals
x^2 + 3x + 3 = 5x + 6
x^2 -2x -3=0
x^2 -3x + x-3 =0
x(x-3) + 1(x-3)=0
x= 3 or -1
- by mathisfun
Sun Nov 29, 2020 10:57 am- Forum: Problem Solving
- Topic: If \(x^2 + 3x + 3 = 5x + 6\) then \(x\) equals
- Replies: 1
- Views: 446