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How would you solve x2+8x+16=81Show that this can be factorised (x+4)2=9Answered by • Maths tutor2957 Views
Multiple first fraction through by 2 and second fraction through by 3((2x+4)/6x) + ((3x-6)/6x) = (5x-2)/(6x) = 3Expand brackets and isolate x5x-2 = 18x13x = -2x = -2/13
Take away 3 from both sides to give you : 5x = 15Divide by 5 on both sides to give you : x = 3
To solve this, you need to find two factors of -15 that total to give -2. The solution we're looking for is of the for (x + something) (x + something)=0, as you can then solve each bracket to get two resu...
From our base right angled triangle (base and height of 1) and remembering SOH CAH TOA ( tangent = opposite/adjacent), we can deduce tan(45) = 1 / 1 = 1
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