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22 days ago

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2 At Bea's Pet Shop, the number of dogs, d, is initially five less than twice the number of cats, c. If she decides to add three

more of each, the ratio
of cats to dogs will be – Write an equation or system of equations that can be used to find the number of cats and dogs Bea has in her pet shop. Could Bea's Pet Shop initially have 15 cats and 20 dogs? Explain your reasoning. Determine algebraically the number of cats and the number of dogs Bea initially had in her pet shop.

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What are the solutions of the equation x4 + 6x2 + 5 = 0? Use u substitution to solve.

tester [12383]

The solutions to the equation are $x=\pm i, x=\pm \sqrt{5}i$

Explanation:

Given the equation $x^{4}+6 x^{2}+5=0$

, we aim to find the solutions of the equation.

Let us use $x^{2} =u$ and $x^4=u^2$

Thus, the equation transforms into

$u^{2}+6 u+5=0$

Factoring the equation results in:

$(u+1)(u+5)=0$

$u=-1, u=-5$

Inserting back $x^{2} =u$ and allows us to solve for x.

Initially, we will substitute $u=-1$

Consequently, we find;

$x^{2} =-1$

$x=\sqrt{-1}$

$x=\pm i$

Similarly, by substituting $u=-5$ , we derive;

$x^{2} =-5$

$x=\sqrt{-5}$

$x=\pm \sqrt{5}i$

Thus, the solutions to the equation are $x=\pm i, x=\pm \sqrt{5}i$

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A recipe calls for 400 grams of flour. if leena makes one quarter of the recipe, how many kilograms of flour will she need?

Svet_ta [12734]

Additional 300 grams of flour will be required.

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3 months ago

What is the value of n? 9x27+2x31-28= n

Svet_ta [12734]

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4 months ago

Read 2 more answers