All categories

2 years ago

The solutions to the equation 2x2+x-1=2 are X= -3/2 or x=

Mathematics

1 answer:

Brilliant_brown [7]2 years ago

3 0

Answer:

positive 3/2

Step-by-step explanation:

You might be interested in

Is (x-3) a factor of f(x) = x^2 - 32?

Leokris [45]

Answer:

$No$

Explanation:

Here, we want to use the factor theorem to check if the given linear expression is a factor of the binomial

Now, according to the factor theorem, a factor of a polynomial would leave no remainder when divided by it

Mathematically, it means when we substitute the factor value into the polynomial, it is expected that the remainder is zero is the substituted is a factor of the polynomial

We set x-2 to zero:

$\begin{gathered} \text{ x-2 = 0} \\ x\text{ = 2} \end{gathered}$

Now, we substitute 2 into the polynomial as follows:

$f(2)\text{ = }2^2-32\text{ = 4-32 = -28}$

There is a remainder of -28 and thus, the linear factor is not a factor of the binomial

3 0

9 months ago

An office building has 24 offices on each floor. Each office either face north, south, east, west , and the amount of offices th

yuradex [85]

Answer:

198

Step-by-step explanation:

33 * 24 = 792

792 / 4 = 198

3 0

2 years ago

Please help! A-level maths.

astra-53 [7]

$x+y=k\implies y=k-x$

Substitute this into the parabolic equation,

$k-x=6-(x-3)^2\implies x^2-7x+(k+3)=0$

We're told the line $x+y=k$ intersects $C$ twice, which means the quadratic above has two distinct real solutions. Its discriminant must then be positive, so we know

$(-7)^2-4(k+3)=49-4(k+3)>0\implies k$

We can tell from the quadratic equation that $C$ has its vertex at the point (3, 6). Also, note that

$-1\le\sin t\le1\implies3\le3+2\sin t\le5\implies3\le x\le5$

and

$-1\le\cos2t\le1\implies2\le4+2\cos2t\le6\implies2\le y\le6$

so the furthest to the right that $C$ extends is the point (5, 2). The line $x+y=k$ passes through this point for $2+5=k\implies k=7$ . For any value of $k$ , the line $x+y=k$ passes through $C$ either only once, or not at all.