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Factorize the following expression and solve for x: X^2 +7X +10=0

Answer:  (X+5)(X+2)=0   X=-5 or -2 We first look for to numbers that multiply together to make 10 (1 and 10, 2 and 5 are the only pairs)  We choose the pair which also adds together to the 2nd term, 7. We...

Answered by James H. Maths tutor
3228 Views

Find the set of values of k for which x^2 + 2x+11 = k(2x-1)

The discriminant for a quadratic polynomial of the form f(x) = ax^2 + bx + c is given by b^2 - 4ac. If the discriminant is strictly greater than 2, the quadratic has 2 real distinct roots, i.e 2 unique x-...

Answered by William A. Maths tutor
13030 Views

Express 60 as a product of its prime factors.

We divide 60 by 2 as many times as possible to get 60 = 15 x 2 x 2. 2 is a prime number so we don't need to break the 2's down any more. Instead we break 15 down. 15 doesn't divide by 2 so we try the next...

Answered by Aidan H. Maths tutor
71752 Views

Parlami di cosa hai fatto durante le vacanze di Natale.

Le mie vacanze di Natale non sono state particolarmente emozionanti. Alla mia famiglia piace rispettare le tradizioni, quindi ho passato la vigilia coi miei nonni paterni e il giorno di natale con la nonn...

Answered by Lorenzo V. Maths tutor
9025 Views

The line y=5-x intersects the curve y=x^2-3x+2 at the points P and Q. Find the (x,y) coordinates of P and Q.

Step 1: To find the points of intersection, we must find where the y and x values are equal. Therefore 5-x=x2-3x+2 where the y-values are equal.

Step 2: Rearrange the above into the quad...

Answered by Georgina B. Maths tutor
19777 Views

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