(D) Given values are $a=17, b=15, c=13$.We need to evaluate the expression $E = a^{2}+b^{2}+c^{2}-2ab-2bc-2ca$.Substitute the values directly into the

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(D) Given values are $a=17, b=15, c=13$.We need to evaluate the expression $E = a^{2}+b^{2}+c^{2}-2ab-2bc-2ca$.Substitute the values directly into the expression:$E = (17)^{2} + (15)^{2} + (13)^{2} - 2(17)(15) - 2(15)(13) - 2(13)(17)$$E = 289 + 225 + 169 - 510 - 390 - 442$$E = 683 - 1342$$E = -659$.

Competitive Quantitative Aptitude Algebra QUADRATIC EQUATION

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Find the value of $a^{2}+b^{2}+c^{2}-2ab-2bc-2ca$ when $a=17, b=15$ and $c=13$.

A
$111$
B
$121$
C
$225$
D
$-659$

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Find the value of $a^{2}+b^{2}+c^{2}-2ab-2bc-2ca$ when $a=17, b=15$ and $c=13$.

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If the sum of the roots of the equation $ax^2 + bx + c = 0$ is equal to the sum of their squares,then:

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Solve the given two equations and select the correct option.
$I.$ $x^{2}-19x+84=0$
$II.$ $y^{2}-25y+156=0$