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hjlf
3 years ago
12

What numbers multiply to -30 and add to -3

Mathematics
1 answer:
krek1111 [17]3 years ago
3 0
Let the numbers be x and y.  Then xy = -30 and  x+y = -3.

Solve xy = -30 for y:    y = -30/x

subst. -30/x for y in   x+y= -3:     x  -  30/x = -3

Multiply all 3 terms by x:  x^2 - 30 = -3x, so   x^2 + 3x - 10 = 0

Solve this quadratic equation for x.     x: {-5, 2}

If x = -5, then   x+y = -3 becomes -5 + y = -3, and y = 2.

You should check to determine whether x=2 is also correct.  If it is, what is the corresponding y value?
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Cho tam giác ABC vuông tại A &lt; góc B=a chứng minh: a) 1+<img src="https://tex.z-dn.net/?f=tan%5E%7B2%7D" id="TexFormula1" tit
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<h3><u>L</u><u>H</u><u>S</u><u>:</u><u>-</u></h3>

\\ \sf\longmapsto 1+tan^2A

\boxed{\sf tanA=\dfrac{sinA}{cosA}}

\\ \sf\longmapsto 1+\dfrac{sin^2A}{cos^2A}

\\ \sf\longmapsto \dfrac{cos^2A+sin^2A}{cos^2A}

\boxed{\sf cos^2A+sin^2A=1}

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