Question

find the value of the discrimination for the quadratic equation
${x}^{2} + 10x - 7 = 0$
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Answer 1

$Let \: {x}^{2} + 10x - 7 \: be \: {ax}^{2} + bx - c \\ Discriminant = {b}^{2} - 4ac \\ = {10}^{2} - 4 \times 1 \times - 7 \\ = 100 + 28 \\ = 128$

Since, {b}^{2} - 4ac > 0

Therefore, The roots are equal and distinct.