49. Find a quadratic equation with integer coefficients whose roots are the reciprocals of the roots of 4x2 - 23x + 15 = 0. %3D EAS THID C EASTRED 1 50. In the equation 3x2 + ax – 2 = 0, the sum of the roots equals twice the product of the roots. Find both %3D roots and the value of a. EAS TREDI34 RAS 8S.A.CIRT.BAR 81 EAS 199 51. When the solutions of x2 + 2kx - 5 = 0 are squared and then added together, the result is 26. What must be the value of k? er

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Can you please solve the questions 49-51 ASAP please

49. Find a quadratic equation with integer coefficients whose roots are the reciprocals of the roots of
4x2 -
23x + 15 = 0.
%3D
EAS THID C
EASTRED 1
50. In the equation 3x2 + ax – 2 = 0, the sum of the roots equals twice the product of the roots. Find both
%3D
roots and the value of a.
EAS TREDI34
RAS
8S.A.CIRT.BAR
81
EAS
199
51. When the solutions of x2 + 2kx - 5 = 0 are squared and then added together, the result is 26. What must
be the value of k?
er
Transcribed Image Text:49. Find a quadratic equation with integer coefficients whose roots are the reciprocals of the roots of 4x2 - 23x + 15 = 0. %3D EAS THID C EASTRED 1 50. In the equation 3x2 + ax – 2 = 0, the sum of the roots equals twice the product of the roots. Find both %3D roots and the value of a. EAS TREDI34 RAS 8S.A.CIRT.BAR 81 EAS 199 51. When the solutions of x2 + 2kx - 5 = 0 are squared and then added together, the result is 26. What must be the value of k? er
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