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Q: How do you solve the equation 10x equals 25?

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Rearrange: x2 - 10x + 25 = 0ie (x - 5)(x - 5) = 0x = 5Check: x2 = 25; 10x - 25 = 50 - 25 = 25. Job done

10x = 9x -25 10x -9x = -25 x = -25

For the equation x2- 10x - k equals 0, you can solve this by knowing that if there is only one solution then the discriminant b2 - 4ac must be equal to 0. In this equation, a is 1, b is 10 and c is k This equation becomes 100 - 4k equals 0, and k is 25.

15

When x = -5

10x - 5 = 2510x = 30x = 3

x2 + 10x = 18 x2 + 2(5)x - 18 = 0 x2 + 2(5)x + 25 = 18 + 25 (x + 5) 2 = 43 x + 5 = 430.5 x=6.56(3sf)-5

Using the quadratic equation formula: x = -5-/+ the square root of 7

x2 + 10x + 25 = 0

-20

10x+5y = 25 5y = -10x+25 y = -2x+5 Therefore: the slope is -2 and the intercept is 5

y=x2-10x+30=(x-5)2-25+30=(x-5)2+5

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