Os discriminantes são respectivamente;
A) Coeficientes, a=2, b=-11, c=5 e o Discriminante é 81.
B) Coeficientes, a=1, b=-10, c=21 e o Discriminante é 16.
C) Coeficientes, a=3, b=0, c=-36 e o Discriminante é 432.
[tex]\boxed{\begin{array}{lr} 2x^2-11x+5=0 \end{array}}\\\\a=2\\b=-11\\c=5\\\\\boxed{\begin{array}{lr} \Delta=b^2-4.a.c\\\Delta=(-11)^2-4.2.5\\\Delta=121-40\\\boxed{\begin{array}{lr} \boxed{\begin{array}{lr} \Delta=81\ \ \checkmark \end{array}} \end{array}} \end{array}}[/tex]
A) Resposta; O valor do Discriminante é; 81
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[tex]\boxed{\begin{array}{lr} (x-7)(x-3)\\x^2-3x-7x+21\\\boxed{\begin{array}{lr} x^2-10x+21=0 \end{array}} \end{array}}\\\\a=1\\b=-10\\c=21\\\\\boxed{\begin{array}{lr} \Delta=b^2-4.a.c\\\Delta=(-10)^2-4.1.21\\\Delta=100-84\\\boxed{\begin{array}{lr} \boxed{\begin{array}{lr} \Delta=16\ \ \checkmark \end{array}} \end{array}} \end{array}}[/tex]
B) Resposta; O valor do Discriminante é; 16.
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[tex]\boxed{\begin{array}{lr} 2x(x+1)=x(x+5)+3(12-x)\\4x^2+2x=x^2+5x+36-3x\\4x^2+2x-x^2-5x-36+3x\\3^2+2x-5x-36+3x\\\boxed{\begin{array}{lr} 3x^2-36=0\ \ \ \checkmark \end{array}} \end{array}}\\\\a=3\\b=0\\c=-36\\\\\boxed{\begin{array}{lr} \Delta=b^2-4.a.c\\\Delta=0^2-4.3.-36\\\boxed{\begin{array}{lr} \Delta=432\ \ \checkmark \end{array}}\end{array}}[/tex]
C) Resposta; O valor do Discriminante é; 432.
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Respostas;
A) Coeficientes, a=2, b=-11, c=5 e o Discriminante é 81.
B) Coeficientes, a=1, b=-10, c=21 e o Discriminante é 16.
C) Coeficientes, a=3, b=0, c=-36 e o Discriminante é 432.
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