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2. 2x² -5x=10 Show by completing the square that the solutions to the equati ax²-bx-a=b are x=-1 and x= a+b Given the quadratic equation in x: x²+x+1=0

2. 2x² -5x=10 Show by completing the square that the solutions to the equati ax²-bx-a=b are x=-1 and x= a+b Given the quadratic equation in x: x²+x+1=0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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form. 2+4x-630 +x-1%=0 (c) 2-5x (b) (d) 2x+3x-5 0 3x-7x+3-D0 () (e) (g) 2x-5x 10 Show by completing the square that the solutions to the equation ax-bx-a b are x -1 and x 2. a+b a Given the quadratic equation in x: x+x+1 D0 Show by completing the square that the equation has no real solutions. 3. 4. By completing the square, show that the solutions of any quadratic equation of the form ax +bx+c 0 where a 0 can be determined by using the formula: ーb土Vb-4ac (This is called the quadratic formula) 2a SOLVING QUADRATIC EQUATIONS BY USING THE QUADRATIC FORMULA The solutions of any quadratic equation in standard form a btca0 where 0 can be determined using the formula:
Transcribed Image Text:form. 2+4x-630 +x-1%=0 (c) 2-5x (b) (d) 2x+3x-5 0 3x-7x+3-D0 () (e) (g) 2x-5x 10 Show by completing the square that the solutions to the equation ax-bx-a b are x -1 and x 2. a+b a Given the quadratic equation in x: x+x+1 D0 Show by completing the square that the equation has no real solutions. 3. 4. By completing the square, show that the solutions of any quadratic equation of the form ax +bx+c 0 where a 0 can be determined by using the formula: ーb土Vb-4ac (This is called the quadratic formula) 2a SOLVING QUADRATIC EQUATIONS BY USING THE QUADRATIC FORMULA The solutions of any quadratic equation in standard form a btca0 where 0 can be determined using the formula:
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