Question

If b = a + c, then the equation ax2

+ bx + c = 0 has​

a. real roots

b. no roots

c. equal roots

d. no real roots

Answer 1

a)real roots is the answer

Answer 2

if b = a+c

$discriminent \: \\ \\ {b}^{2} - 4ac \\ \\ = {(a + c)}^{2} - 4ac \\ \\ = {a}^{2} + {c}^{2} + 2ac - 4ac \\ \\ = {a}^{2} + {c}^{2} - 2ac \\ \\ = {(a - c)}^{2} \\ \\ now \: equation \: \: \\ a {x}^{2} + bx + c = 0 \\ \\ since \: its \: discriminant \: is \: a \: \\ squar \\ \\ so \: roots \: will \: be \: rational$

So correct answer is -a) real roots

HOPE IT WOULD HELP

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