3 years ago

Which equation has no solution?

Mathematics

1 answer:

steposvetlana [31]3 years ago

3 0

Answer:

B i am pretty sure

Step-by-step explanation:

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3 years ago

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ELEN [110]

Given:

$A=120\ un.^2;$
$\text{height}=x+5\ un.;$
$\text{base}=3x+9\ un.$

Find: height and base.

Solution: Use given formula for the area:

$A=\dfrac{1}{2}\cdot \text{base}\cdot \text{height}.$

Substitute $\text{height}=x+5,$ $\text{base}=3x+9$ and solve the equation:

$120=\dfrac{1}{2}\cdot (3x+9)\cdot(x+5),\\ \\80=(x+3)(x+5),\\ \\x^2+3x+5x+15-80=0,\\ \\x^2+8x-65=0,\\ \\D=8^2-4\cdot (-65)=64+260=324,\\ \\x_1=\dfrac{-8-18}{2}=-13,\ x_2=\dfrac{-8+18}{2}=5$